Chapter 1 Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. 1.

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Chapter 1 Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. 1."

Transcription

1 Name: lass: ate: I: hapter 1 Exam Multiple hoice Identify the choice that best completes the statement or answers the question. 1. bisects, m = (7x 1), and m = (4x + 8). Find m. a. m = c. m = 40 b. m = 3 d. m = 0. Find the measure of O. Then, classify the angle as acute, right, or obtuse. a. m O = 15 ; obtuse c. m O = 90 ; right b. m O = 35 ; acute d. m O = 160 ; obtuse 3. billiard ball bounces off the sides of a rectangular billiards table in such a way that 1 3, 4 6, and 3 and 4 are complementary. If m 1 = 6.5, find m 3, m 4, and m Tell whether 1 and 3 are only adjacent, adjacent and form a linear pair, or not adjacent. a. m 3 = 6.5 ; m 4 = 63.5 ; m 5 = 63.5 b. m 3 = 6.5 ; m 4 = 63.5 ; m 5 = 53 c. m 3 = 63.5 ; m 4 = 6.5 ; m 5 = 53 d. m 3 = 6.5 ; m 4 = ; m 5 = 6.5 a. not adjacent b. only adjacent c. adjacent and form a linear pair 1

2 Name: I: 5. Tell whether F and 3 are only adjacent, adjacent and form a linear pair, or not adjacent. 8. Find and EF. Then determine if EF. a. adjacent and form a linear pair b. only adjacent c. not adjacent 6. Use the istance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(4, ) to U(, 3). a. 1.0 units b. 3.4 units c. 0.0 units d. 7.8 units a. = 13, EF = 13, EF b. = 5, EF = 13, EF c. = 13, EF = 3 5, EF d. = 5, EF = 5, EF 9. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. a. 7. There are four fruit trees in the corners of a square backyard with 30-ft sides. What is the distance between the apple tree and the plum tree P to the nearest tenth? b. a. 4.4 ft b. 4.3 ft c ft d ft

3 Name: I: c. 11. The width of a rectangular mirror is 3 4 the measure of the length of the mirror. If the area is 19 in, what are the length and width of the mirror? a. length = 4 in., width = 8 in. b. length = 16 in., width = 1 in. c. length = 48 in., width = 4 in. d. length = 5 in., width = 71 in. 1. Find the coordinates for the image of EFG after the translation (x, y) (x 6, y + ). raw the image. d. 10. Find the circumference and area of the circle. Use 3.14 for π, and round your answer to the nearest tenth. a. a. = 01.0 ft; = 50. ft b. = 50. ft; = 5.1 ft c. = 5.1 ft; = 50. ft d. = 50. ft; = 01.0 ft 3

4 Name: I: b. c. 13. Find the measure of the supplement of R, where m R = (8z + 10) a. (170 8z) b. (190 8z) c d. (80 8z) 14. M is the midpoint of N, has coordinates ( 6, 6), and M has coordinates (1, ). Find the coordinates of N. a. (8, 10) b. ( 5, 4) c. ( 1, ) d. (8 1, 91 ) 15. K is the midpoint of JL. JK = 6x and KL = 3x + 3. Find JK, KL, and JL. a. JK = 1, KL = 1, JL = b. JK = 6, KL = 6, JL = 1 c. JK = 1, KL = 1, JL = 6 d. JK = 18, KL = 18, JL = 36 d. 16. n angle measures degrees more than 3 times its complement. Find the measure of its complement. a. 68 b. 7 c. 3 d. 4

5 Name: I: 17. The map shows a linear section of Highway 35. Today, the Ybarras plan to drive the 360 miles from Springfield to Junction ity. They will stop for lunch in Roseburg, which is at the midpoint of the trip. If they have already traveled 55 miles this morning, how much farther must they travel before they stop for lunch? a. 15 mi c. 180 mi b. 145 mi d. 305 mi 18. Tell whether 1 and are only adjacent, adjacent and form a linear pair, or not adjacent. 0. Find the perimeter and area of the figure. a. perimeter = 6x + 14; area = 3x + 4 b. perimeter = 7x + 14; area = 3x + 4 c. perimeter = 7x + 14; area = 6x + 48 d. perimeter = 7x + 14; area = 6x + 14 a. only adjacent b. adjacent and form a linear pair c. not adjacent 19. is between and E. E = 6x, = 4x + 8, and E = 7. Find E. 1. The rectangles on a quilt are in. wide and 3 in. long. The perimeter of each rectangle is made by a pattern of red thread. If there are 30 rectangles in the quilt, how much red thread will be needed? a. 10 in. b. 150 in. c. 180 in. d. 300 in. a. E = 17.5 b. E = 78 c. E = 105 d. E = 57 5

6 Name: I:. R is the midpoint of. T is the midpoint of. S is the midpoint of. Use the diagram to find the coordinates of T, the area of RST, and. Round your answers to the nearest tenth. 3. The tip of a pendulum at rest sits at point. uring an experiment, a physics student sets the pendulum in motion. The tip of the pendulum swings back and forth along part of a circular path from point to point. uring each swing the tip passes through point. Name all the angles in the diagram. a. T(3, 1); area of RST = 8; 17.9 b. T(3, 1); area of RST = 3; 17.9 c. T(3, 1); area of RST = 16; 8.9 d. T(3, 1); area of RST = 8; 8.9 a. O, O b. O, O, O c. O, O, O, O d. O, O, O Numeric Response 4. Find the measure of the angle formed by the hands of a clock when it is 7: The supplement of an angle is 6 more than five times its complement. Find the measure of the angle. 6

7 I: hapter 1 Exam nswer Section MULTIPLE HOIE 1. NS: Step 1 Solve for x. m = m efinition of angle bisector. (7x 1) = (4x + 8) Substitute 7x 1 for and 4x + 8 for. 7x = 4x + 9 dd 1 to both sides. 3x = 9 Subtract 4x from both sides. x = 3 ivide both sides by 3. Step Find m. m = 7x 1 = 7(3) 1 = 0 heck your simplification technique. Substitute this value of x into the expression for the angle. This answer is the entire angle. ivide by two. orrect! PTS: 1 IF: verage REF: Page 3 OJ: Finding the Measure of an ngle NT: 1..1.f ST: GE1.0 TOP: 1-3 Measuring and onstructing ngles KEY: angle bisectors angle measures. NS: y the Protractor Postulate, m O = m O m O. First, measure O and O. m O = m O m O = = 90 Thus, O is a right angle. To find the measure of angle O, subtract the measure of angle O from the measure of angle O. The sum of the measure of angle O and the measure of angle O is equal to the measure of angle O. orrect! Use the Protractor Postulate. PTS: 1 IF: verage REF: Page 1 OJ: 1-3. Measuring and lassifying ngles NT: 1..1.f ST: GE1.0 TOP: 1-3 Measuring and onstructing ngles KEY: measuring angles classifying angles right acuta obtuse protractor 1

8 I: 3. NS: Since 1 3, m 1 m 3. Thus m 3 = 6.5. Since 3 and 4 are complementary, m 4 = = Since 4 6, m 4 m 6. Thus m 6 = y the ngle ddition Postulate, 180 = m 4 + m 5 + m 6 = m Thus, m 5 = 53. The measure of angle 5 is 180 degrees minus the sum of the measure of angle 4 and the measure of angle 6. orrect! ngle 1 and angle 3 are congruent. ongruent angles have the same measure. ngle 3 and angle 4 are complementary, not supplementary. PTS: 1 IF: verage REF: Page 30 OJ: Problem-Solving pplication NT: g ST: 6MG. TOP: 1-4 Pairs of ngles KEY: application complementary angles supplementary angles 4. NS: 1 and 3 have a common vertex,, but no common side. So 1 and 3 are not adjacent. orrect! Two angles are adjacent if they have a common vertex and a common side, but no common interior points. djacent angles form a linear pair if and only if their noncommon sides are opposite rays. PTS: 1 IF: verage REF: Page 8 OJ: Identifying ngle Pairs NT: g ST: 6MG.1 TOP: 1-4 Pairs of ngles KEY: angle pairs linear pair adjacent

9 I: 5. NS: F and 3 are adjacent angles. Their noncommon sides, F also form a linear pair. and G, are opposite rays, so F and 3 orrect! djacent angles form a linear pair if and only if their noncommon sides are opposite rays. Two angles are adjacent if they have a common vertex and a common side, but no common interior points. PTS: 1 IF: verage REF: Page 8 OJ: Identifying ngle Pairs NT: g ST: 6MG.1 TOP: 1-4 Pairs of ngles KEY: angle pairs linear pair adjacent 3

10 I: 6. NS: Method 1 Substitute the values for the coordinates of T and U into the istance Formula. TU = Ê Ë Áx x 1 ˆ + Ê Ë Á y y 1 ˆ Method Use the Pythagorean Theorem. Plot the points on a coordinate plane. Then draw a right triangle. = ( 4) + ( 3 ) = ( 6) + ( 5) = units ount the units for sides a and b. a = 6 and b = 5. Then apply the Pythagorean Theorem. c = a + b = = = 61 c 7.8 units The distance is the square root of the quantity (x x1)^ + (y y1)^. The distance is the square root of the quantity (x x1)^ + (y y1)^. The distance is the square root of the quantity (x x1)^ + (y y1)^. orrect! PTS: 1 IF: verage REF: Page 45 OJ: Finding istances in the oordinate Plane NT: 1..1.e ST: GE15.0 TOP: 1-6 Midpoint and istance in the oordinate Plane KEY: congruent segments distance formula Pythagorean Theorem 4

11 I: 7. NS: Set up the yard on a coordinate plane so that the apple tree is at the origin, the fig tree F has coordinates (30, 0), the plum tree P has coordinates (30, 30), and the nectarine tree N has coordinates (0, 30). The distance between the apple tree and the plum tree is P. P = Ê Ë Áx x 1 ˆ + Ê Ë Á y y 1 ˆ = ( 30 0) + ( 30 0) = = = ft orrect! heck your calculations and rounding. Set up the yard on a coordinate plane so that the apple tree is at the origin. Then use the distance formula to find the distance. Set up the yard on a coordinate plane so that the apple tree is at the origin. Then use the distance formula to find the distance. PTS: 1 IF: verage REF: Page 46 OJ: pplication NT: 1..1.e ST: GE15.0 TOP: 1-6 Midpoint and istance in the oordinate Plane KEY: application distance formula 5

12 I: 8. NS: Step 1 Find the coordinates of each point. (0, 4), (3, ), E(, 1), and F( 4, ) Step Use the istance Formula. d = (x x 1 ) + (y y 1 ) = ( 3 0) + ( 4) EF = ( 4 ( )) + ( 1) = 3 + ( ) = ( ) + ( 3) = = 13 = = 13 Since = EF, EF. orrect! The square of a negative number is positive. Subtracting a negative number is the same as adding the number. ( ) =. Use the distance formula after finding the coordinates of each point. PTS: 1 IF: verage REF: Page 44 OJ: Using the istance Formula NT: 1..1.e ST: GE17.0 TOP: 1-6 Midpoint and istance in the oordinate Plane KEY: congruent segments distance formula 6

13 I: 9. NS: In the diagram, lines m and l both lie in plane R, but do not intersect. Moreover, line l is the intersection of planes R and W. Is either of the two lines the intersection of the two planes? orrect! The two lines in this diagram intersect. The two lines in this diagram are not coplanar. PTS: 1 IF: verage REF: Page 8 OJ: Representing Intersections NT: b ST: GE1.0 TOP: 1-1 Understanding Points Lines and Planes KEY: points lines planes 10. NS: = πr = π ( 4) 5.1 ft = πr = π ( 4) 50. ft Use the radius, not the diameter, in your calculations. The circumference of a circle is times pi times the radius. The area of a circle is pi times the radius squared. orrect! Use the radius, not the diameter, in your calculations. PTS: 1 IF: verage REF: Page 37 OJ: Finding the ircumference and rea of a ircle NT: 1..1.h ST: GE8.0 TOP: 1-5 Using Formulas in Geometry KEY: circles circumference area 7

14 I: 11. NS: The area of a rectangle is found by multiplying the length and width. Let l represent the length of the mirror. Then the width of the mirror is 3 4 l. = lw 19 = l( 3 4 l) 19 = 3 4 l 56 = l 16 = l The length of the mirror is 16 inches. The width of the mirror is 3 (16) = 1 inches. 4 First, find the length. Then, use substitution to find the width. orrect! First, find the length. Then, use substitution to find the width. The formula for the area of a rectangle is length times width. PTS: 1 IF: dvanced NT: 1..1.h ST: GE8.0 TOP: 1-5 Using Formulas in Geometry KEY: area rectangles application 1. NS: Step 1 Find the coordinates of EFG. The vertices of EFG are E(3, 0), F(1, ), and G(5, 4). Step pply the rule to find the vertices of the image. E'(3 6, 0 + ) = E'( 3, ) F'(1 6, + ) = F'( 5, 0) G'(5 6, 4 + ) = G'( 1, ) Step 3 Plot the points. Then finish drawing the image by using a straightedge to connect the vertices. orrect! To find coordinates for the image, add -6 to the x-coordinates of the preimage, and add to the y-coordinates of the preimage. To find the y-coordinates for the image, add to the y-coordinates of the preimage. To find the y-coordinates for the image, add to the y-coordinates of the preimage. PTS: 1 IF: verage REF: Page 51 OJ: Translations in the oordinate Plane NT: 1.3..c ST: GE.0 TOP: 1-7 Transformations in the oordinate Plane KEY: transformations arrow notation translations 8

15 I: 13. NS: Subtract from 180º and simplify. 180 (8z + 10) = 180 8z 10 = (170 8z) orrect! The measures of supplementary angles add to 180 degrees. Supplementary angles are angles whose measures have a sum of 180 degrees. Find the measure of a supplementary angle, not a complementary angle. PTS: 1 IF: verage REF: Page 9 OJ: 1-4. Finding the Measures of omplements and Supplements NT: g ST: 6MG. TOP: 1-4 Pairs of ngles KEY: complementary angles supplementary angles 14. NS: Step 1 Let the coordinates of N equal (x, y). Step Use the Midpoint Formula. Ê Ê Ë Á 1, ˆ = x + x 1 y 1 + y ˆ Ê, Ë Á = Ë Á Step 3 Find the x- and y-coordinates. 6 + x, 6 + y 1 = 6 + x = 6 + y Set the coordinates equal. Ê ( 1) = 6 + x ˆ Ê ( ) = 6 + y ˆ Ë Á Ë Á Multiply both sides by. = 6 + x 4 = 6 + y Simplify. x = 8 y = 10 Solve for x or y, as appropriate. The coordinates of N are (8, 10). ˆ orrect! Let the coordinates of N be (x, y). Substitute known values into the Midpoint Formula to solve for x and y. This is the midpoint of line segment M. If M is the midpoint of line segment N, what are the coordinates of N? Let the coordinates of N be (x, y). Substitute known values into the Midpoint Formula to solve for x and y. PTS: 1 IF: verage REF: Page 44 OJ: 1-6. Finding the oordinates of an Endpoint NT: 1..1.e ST: GE17.0 TOP: 1-6 Midpoint and istance in the oordinate Plane KEY: midpoint formula coordinates 9

16 I: 15. NS: Step 1 Write an equation and solve. JK = KL K is the midpoint of JL. 6x = 3x + 3 Substitute 6x for JK and 3x + 3 for KL. 3x = 3 Subtract 3x from both sides. x = 1 ivide both sides by 3. Step Find JK, KL, and JL. JK = 6x = 6( 1) = 6 KL = 3x + 3 = 3(1) + 3 = 6 JL = JK + KL = = 1 This is the value of x. Substitute this value for x to solve for the segment lengths. orrect! Reverse your answers. The first two segments are half as long as the last segment. heck your simplification methods when solving for x. Use division for the last step. PTS: 1 IF: verage REF: Page 16 OJ: 1-.5 Using Midpoints to Find Lengths NT: 1..1.e ST: GE1.0 TOP: 1- Measuring and onstructing Segments KEY: midpoints length 10

17 I: 16. NS: Let m = x. Then m = (90 x). m = 3m + x = 3(90 x) + Substitute. x = 70 3x + istribute. x = 7 3x ombine like terms. 4x = 7 dd 3x to both sides. x = 7 4 ivide both sides by 4. x = 68 Simplify. The measure of is 68, so its complement is. This is the original angle. Find the measure of the complement. Simplify the terms when solving. heck your equation. The original angle is degrees more than 3 times its complement. orrect! PTS: 1 IF: verage REF: Page 9 OJ: Using omplements and Supplements to Solve Problems NT: g ST: 6MG. TOP: 1-4 Pairs of ngles KEY: complementary angles supplementary angles 17. NS: If the Ybarra s current position is represented by X, then the distance they must travel before they stop for lunch is XR. SX + XR = SR XR = SR SX Segment ddition Postulate Solve for XR. XR = 1 ( 360) 55 Substitute known values. R is the midpoint of SJ, so SR = 1 SJ. XR = 15 Simplify. orrect! Use the definition of midpoint and the Segment ddition Postulate to find the distance to Roseburg. This is the distance from Springfield to Roseburg. You must subtract the distance they have already traveled. This is the distance to Junction ity. Use the definition of midpoint and the Segment ddition Postulate to find the distance to Roseburg. PTS: 1 IF: verage REF: Page 15 OJ: 1-.4 pplication NT: 1..1.e ST: GE1.0 TOP: 1- Measuring and onstructing Segments KEY: application segment addition postulate 11

18 I: 18. NS: 1 and have a common vertex,, a common side,, and no common interior points. Therefore, 1 and are adjacent angles. orrect! djacent angles form a linear pair if and only if their noncommon sides are opposite rays. Two angles are adjacent if they have a common vertex and a common side, but no common interior points. PTS: 1 IF: verage REF: Page 8 OJ: Identifying ngle Pairs NT: g ST: 6MG.1 TOP: 1-4 Pairs of ngles KEY: angle pairs linear pair adjacent 19. NS: E = + E Segment ddition Postulate 6x = ( 4x + 8) + 7 Substitute 6x for E and 4x + 8 for. 6x = 4x + 35 Simplify. x = 35 x = 35 x = 35 or 17.5 Simplify. E = 6x = 6( 17.5) = 105 Subtract 4x from both sides. ivide both sides by. You found the value of x. Find the length of the specified segment. You found the length of a different segment. orrect! heck your equation. Make sure you are not subtracting instead of adding. PTS: 1 IF: verage REF: Page 15 OJ: 1-.3 Using the Segment ddition Postulate NT: a ST: GE1.0 TOP: 1- Measuring and onstructing Segments KEY: segment addition postulate 1

19 I: 0. NS: Solve for the perimeter of the triangle. P = a + b + c Solve for the area of the triangle. = 1 bh = 6 + (x + 8) + 6x = 1 (x + 8)(6) = 7x + 14 = 3x + 4 heck your algebra when adding like terms. orrect! The triangle's area is half of its base times its height. The triangle's area is half of its base times its height. PTS: 1 IF: verage REF: Page 36 OJ: Finding the Perimeter and rea NT: 1..1.h ST: GE8.0 TOP: 1-5 Using Formulas in Geometry KEY: perimeter area triangles 1. NS: The perimeter of one rectangle is P = l + w = () + (3) = = 10 in. The total perimeter of 30 rectangles is 30(10) = 300 in. 300 in. of red thread will be needed. This is the perimeter of one rectangle. What is the perimeter of all 30 rectangles? To find the perimeter add (length) + (width). To find the perimeter add (length) + (width). orrect! PTS: 1 IF: verage REF: Page 37 OJ: 1-5. pplication NT: 1..1.h ST: GE8.0 TOP: 1-5 Using Formulas in Geometry KEY: application perimeter 13

20 I:. NS: Using the given diagram, the coordinates of T are (3, 1). The area of a triangle is given by = 1 bh. From the diagram, the base of the triangle is b = RT = 4. From the diagram, the height of the triangle is h = 4. Therefore the area is = 1 (4)(4) = 8. To find, use the istance Formula with points (1,5) and ( 3, 3). = (x x 1 ) + (y y 1 ) = ( 3 1) + ( 3 5) = = Use the distance formula to find the measurement of. The area of a triangle is one half the measure of its base times the measure of its height. The area of a triangle is one half times the measure of its base times the measure of its height. orrect! PTS: 1 IF: dvanced NT: 1..1.e ST: GE17.0 TOP: 1-6 Midpoint and istance in the oordinate Plane KEY: area distance formula triangles 3. NS: O is another name for O, O is another name for O, and O is another name for O. Thus the diagram contains three angles. What is the name for the angle that describes the change in position from point to point? orrect! ngle O is another name for angle O, and angle O is another name for angle O. What is the name for the angle that describes the change in position from point to point? Point O is the vertex of all the angles in the diagram. PTS: 1 IF: verage REF: Page 0 OJ: Naming ngles NT: 1..1.f ST: GE1.0 TOP: 1-3 Measuring and onstructing ngles KEY: naming angles NUMERI RESPONSE 4. NS: 150 PTS: 1 IF: verage NT: 1..1.f TOP: 1-3 Measuring and onstructing ngles KEY: application angle measures 5. NS: 74 PTS: 1 IF: verage NT: 1..1.f ST: 6MG. TOP: 1-4 Pairs of ngles KEY: supplementary angles complementary angles 14

Geometry Chapter 1 Review

Geometry Chapter 1 Review Name: lass: ate: I: Geometry hapter 1 Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Name two lines in the figure. a. and T c. W and R b. WR and

More information

Geometry Final Assessment 11-12, 1st semester

Geometry Final Assessment 11-12, 1st semester Geometry Final ssessment 11-12, 1st semester Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Name three collinear points. a. P, G, and N c. R, P, and G

More information

Geo - CH6 Practice Test

Geo - CH6 Practice Test Geo - H6 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the measure of each exterior angle of a regular decagon. a. 45 c. 18 b. 22.5

More information

Unit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Unit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. Name: lass: ate: I: Unit 3 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. The radius, diameter, or circumference of a circle is given. Find

More information

Geo - CH9 Practice Test

Geo - CH9 Practice Test Geo - H9 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the area of the parallelogram. a. 35 in 2 c. 21 in 2 b. 14 in 2 d. 28 in 2 2.

More information

Final Review Geometry A Fall Semester

Final Review Geometry A Fall Semester Final Review Geometry Fall Semester Multiple Response Identify one or more choices that best complete the statement or answer the question. 1. Which graph shows a triangle and its reflection image over

More information

Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. Name: lass: _ ate: _ I: SSS Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Given the lengths marked on the figure and that bisects E, use SSS to explain

More information

Perpendicular and Angle Bisectors Quiz

Perpendicular and Angle Bisectors Quiz Name: lass: ate: I: Perpendicular and ngle isectors Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the measures and. a. = 6.4, = 4.6 b. = 4.6,

More information

Geo - CH10 Practice Test

Geo - CH10 Practice Test Geo - H10 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. lassify the figure. Name the vertices, edges, and base. a. triangular pyramid vertices:,,,,

More information

1.7 Find Perimeter, Circumference,

1.7 Find Perimeter, Circumference, .7 Find Perimeter, Circumference, and rea Goal p Find dimensions of polygons. Your Notes FORMULS FOR PERIMETER P, RE, ND CIRCUMFERENCE C Square Rectangle side length s length l and width w P 5 P 5 s 5

More information

11-1 Lines that Intersect Circles Quiz

11-1 Lines that Intersect Circles Quiz Name: lass: ate: I: 11-1 Lines that Intersect ircles Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Identify the secant that intersects ñ. a. c. b.

More information

Chapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle.

Chapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle. Chapter 3.1 Angles Define what an angle is. Define the parts of an angle. Recall our definition for a ray. A ray is a line segment with a definite starting point and extends into infinity in only one direction.

More information

Geometry Review. Here are some formulas and concepts that you will need to review before working on the practice exam.

Geometry Review. Here are some formulas and concepts that you will need to review before working on the practice exam. Geometry Review Here are some formulas and concepts that you will need to review before working on the practice eam. Triangles o Perimeter or the distance around the triangle is found by adding all of

More information

11.3 Sectors and Arcs Quiz

11.3 Sectors and Arcs Quiz Name: lass: ate: I:.3 Sectors and rcs Quiz Multiple hoice Identify the choice that best completes the statement or answers the question.. ( point) Jenny s birthday cake is circular and has a 30 cm radius.

More information

acute angle adjacent angles angle bisector between axiom Vocabulary Flash Cards Chapter 1 (p. 39) Chapter 1 (p. 48) Chapter 1 (p.38) Chapter 1 (p.

acute angle adjacent angles angle bisector between axiom Vocabulary Flash Cards Chapter 1 (p. 39) Chapter 1 (p. 48) Chapter 1 (p.38) Chapter 1 (p. Vocabulary Flash ards acute angle adjacent angles hapter 1 (p. 39) hapter 1 (p. 48) angle angle bisector hapter 1 (p.38) hapter 1 (p. 42) axiom between hapter 1 (p. 12) hapter 1 (p. 14) collinear points

More information

Practice Test - Chapter 1. Use the figure to name each of the following.

Practice Test - Chapter 1. Use the figure to name each of the following. Use the figure to name each of the following. 1. the line that contains points Q and Z The points Q and Z lie on the line b, line b 2. two points that are coplanar with points W, X, and Y Coplanar points

More information

Warm Up #23: Review of Circles 1.) A central angle of a circle is an angle with its vertex at the of the circle. Example:

Warm Up #23: Review of Circles 1.) A central angle of a circle is an angle with its vertex at the of the circle. Example: Geometr hapter 12 Notes - 1 - Warm Up #23: Review of ircles 1.) central angle of a circle is an angle with its verte at the of the circle. Eample: X 80 2.) n arc is a section of a circle. Eamples:, 3.)

More information

Geometry: Unit 1 Vocabulary TERM DEFINITION GEOMETRIC FIGURE. Cannot be defined by using other figures.

Geometry: Unit 1 Vocabulary TERM DEFINITION GEOMETRIC FIGURE. Cannot be defined by using other figures. Geometry: Unit 1 Vocabulary 1.1 Undefined terms Cannot be defined by using other figures. Point A specific location. It has no dimension and is represented by a dot. Line Plane A connected straight path.

More information

CCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name:

CCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name: GPS UNIT 3 Semester 1 NLYTI GEOMETRY Page 1 of 3 ircles and Volumes Name: ate: Understand and apply theorems about circles M9-1.G..1 Prove that all circles are similar. M9-1.G.. Identify and describe relationships

More information

Parallel and Perpendicular. We show a small box in one of the angles to show that the lines are perpendicular.

Parallel and Perpendicular. We show a small box in one of the angles to show that the lines are perpendicular. CONDENSED L E S S O N. Parallel and Perpendicular In this lesson you will learn the meaning of parallel and perpendicular discover how the slopes of parallel and perpendicular lines are related use slopes

More information

EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS

EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires

More information

**The Ruler Postulate guarantees that you can measure any segment. **The Protractor Postulate guarantees that you can measure any angle.

**The Ruler Postulate guarantees that you can measure any segment. **The Protractor Postulate guarantees that you can measure any angle. Geometry Week 7 Sec 4.2 to 4.5 section 4.2 **The Ruler Postulate guarantees that you can measure any segment. **The Protractor Postulate guarantees that you can measure any angle. Protractor Postulate:

More information

of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433 Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

More information

1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?

1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above? 1. A student followed the given steps below to complete a construction. Step 1: Place the compass on one endpoint of the line segment. Step 2: Extend the compass from the chosen endpoint so that the width

More information

Centroid: The point of intersection of the three medians of a triangle. Centroid

Centroid: The point of intersection of the three medians of a triangle. Centroid Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:

More information

GEOMETRY FINAL EXAM REVIEW

GEOMETRY FINAL EXAM REVIEW GEOMETRY FINL EXM REVIEW I. MTHING reflexive. a(b + c) = ab + ac transitive. If a = b & b = c, then a = c. symmetric. If lies between and, then + =. substitution. If a = b, then b = a. distributive E.

More information

Lesson 1: Introducing Circles

Lesson 1: Introducing Circles IRLES N VOLUME Lesson 1: Introducing ircles ommon ore Georgia Performance Standards M9 12.G..1 M9 12.G..2 Essential Questions 1. Why are all circles similar? 2. What are the relationships among inscribed

More information

11.2 Chords & Central Angles Quiz

11.2 Chords & Central Angles Quiz Name: lass: ate: I: 11.2 hords & entral ngles Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. In the diagram below, circle O has a radius of 5, and

More information

Chapter 1: Essentials of Geometry

Chapter 1: Essentials of Geometry Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,

More information

Geometry and Measurement

Geometry and Measurement The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

More information

1.2 Informal Geometry

1.2 Informal Geometry 1.2 Informal Geometry Mathematical System: (xiomatic System) Undefined terms, concepts: Point, line, plane, space Straightness of a line, flatness of a plane point lies in the interior or the exterior

More information

Geometry Unit 1. Basics of Geometry

Geometry Unit 1. Basics of Geometry Geometry Unit 1 Basics of Geometry Using inductive reasoning - Looking for patterns and making conjectures is part of a process called inductive reasoning Conjecture- an unproven statement that is based

More information

A summary of definitions, postulates, algebra rules, and theorems that are often used in geometry proofs:

A summary of definitions, postulates, algebra rules, and theorems that are often used in geometry proofs: summary of definitions, postulates, algebra rules, and theorems that are often used in geometry proofs: efinitions: efinition of mid-point and segment bisector M If a line intersects another line segment

More information

Geometry Regents Review

Geometry Regents Review Name: Class: Date: Geometry Regents Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If MNP VWX and PM is the shortest side of MNP, what is the shortest

More information

Pre-AP Geometry 12-2 Study Guide: Arcs and Chords (pp 802-809) Page! 1 of! 12

Pre-AP Geometry 12-2 Study Guide: Arcs and Chords (pp 802-809) Page! 1 of! 12 Pre-P Geometry 12-2 Study Guide: rcs and hords (pp 802-809) Page! 1 of! 12 ttendance Problems 1. What percent of 60 is 18? 2. What number is 44% of 6? 3. Find! m!wvx. I can apply properties of arcs. I

More information

Student Name: Teacher: Date: District: Miami-Dade County Public Schools. Assessment: 9_12 Mathematics Geometry Exam 1

Student Name: Teacher: Date: District: Miami-Dade County Public Schools. Assessment: 9_12 Mathematics Geometry Exam 1 Student Name: Teacher: Date: District: Miami-Dade County Public Schools Assessment: 9_12 Mathematics Geometry Exam 1 Description: GEO Topic 1 Test: Tools of Geometry Form: 201 1. A student followed the

More information

Chapter 1. Foundations of Geometry: Points, Lines, and Planes

Chapter 1. Foundations of Geometry: Points, Lines, and Planes Chapter 1 Foundations of Geometry: Points, Lines, and Planes Objectives(Goals) Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in

More information

Geometry Chapter 1. 1.1 Point (pt) 1.1 Coplanar (1.1) 1.1 Space (1.1) 1.2 Line Segment (seg) 1.2 Measure of a Segment

Geometry Chapter 1. 1.1 Point (pt) 1.1 Coplanar (1.1) 1.1 Space (1.1) 1.2 Line Segment (seg) 1.2 Measure of a Segment Geometry Chapter 1 Section Term 1.1 Point (pt) Definition A location. It is drawn as a dot, and named with a capital letter. It has no shape or size. undefined term 1.1 Line A line is made up of points

More information

1-1. Nets and Drawings for Visualizing Geometry. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary

1-1. Nets and Drawings for Visualizing Geometry. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary 1-1 Nets and Drawings for Visualizing Geometry Vocabulary Review Identify each figure as two-dimensional or three-dimensional. 1. 2. 3. three-dimensional two-dimensional three-dimensional Vocabulary uilder

More information

Algebra Geometry Glossary. 90 angle

Algebra Geometry Glossary. 90 angle lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

More information

MAT 0950 Course Objectives

MAT 0950 Course Objectives MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify

More information

A (straight) line has length but no width or thickness. A line is understood to extend indefinitely to both sides. beginning or end.

A (straight) line has length but no width or thickness. A line is understood to extend indefinitely to both sides. beginning or end. Points, Lines, and Planes Point is a position in space. point has no length or width or thickness. point in geometry is represented by a dot. To name a point, we usually use a (capital) letter. (straight)

More information

This is a tentative schedule, date may change. Please be sure to write down homework assignments daily.

This is a tentative schedule, date may change. Please be sure to write down homework assignments daily. Mon Tue Wed Thu Fri Aug 26 Aug 27 Aug 28 Aug 29 Aug 30 Introductions, Expectations, Course Outline and Carnegie Review summer packet Topic: (1-1) Points, Lines, & Planes Topic: (1-2) Segment Measure Quiz

More information

12-1. Tangent Lines. Vocabulary. Review. Vocabulary Builder HSM11_GEMC_1201_T Use Your Vocabulary

12-1. Tangent Lines. Vocabulary. Review. Vocabulary Builder HSM11_GEMC_1201_T Use Your Vocabulary 1-1 Tangent Lines Vocabulary Review 1. ross out the word that does NT apply to a circle. arc circumference diameter equilateral radius. ircle the word for a segment with one endpoint at the center of a

More information

1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft

1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft 2 MODULE 6. GEOMETRY AND UNIT CONVERSION 6a Applications The most common units of length in the American system are inch, foot, yard, and mile. Converting from one unit of length to another is a requisite

More information

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry. Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

More information

INDEX. Arc Addition Postulate,

INDEX. Arc Addition Postulate, # 30-60 right triangle, 441-442, 684 A Absolute value, 59 Acute angle, 77, 669 Acute triangle, 178 Addition Property of Equality, 86 Addition Property of Inequality, 258 Adjacent angle, 109, 669 Adjacent

More information

Intro to Circles Formulas Area: Circumference: Circle:

Intro to Circles Formulas Area: Circumference: Circle: Intro to ircles Formulas rea: ircumference: ircle: Key oncepts ll radii are congruent If radii or diameter of 2 circles are congruent, then circles are congruent. Points with respect to ircle Interior

More information

A = ½ x b x h or ½bh or bh. Formula Key A 2 + B 2 = C 2. Pythagorean Theorem. Perimeter. b or (b 1 / b 2 for a trapezoid) height

A = ½ x b x h or ½bh or bh. Formula Key A 2 + B 2 = C 2. Pythagorean Theorem. Perimeter. b or (b 1 / b 2 for a trapezoid) height Formula Key b 1 base height rea b or (b 1 / b for a trapezoid) h b Perimeter diagonal P d (d 1 / d for a kite) d 1 d Perpendicular two lines form a angle. Perimeter P = total of all sides (side + side

More information

Chapter Review. 11-1 Lines that Intersect Circles. 11-2 Arcs and Chords. Identify each line or segment that intersects each circle.

Chapter Review. 11-1 Lines that Intersect Circles. 11-2 Arcs and Chords. Identify each line or segment that intersects each circle. HPTR 11-1 hapter Review 11-1 Lines that Intersect ircles Identify each line or segment that intersects each circle. 1. m 2. N L K J n W Y X Z V 3. The summit of Mt. McKinley in laska is about 20,321 feet

More information

Pre-Algebra Lesson 6-1 to 6-3 Quiz

Pre-Algebra Lesson 6-1 to 6-3 Quiz Pre-lgebra Lesson 6-1 to 6-3 Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the area of the triangle. 17 ft 74 ft Not drawn to scale a. 629 ft

More information

as a fraction and as a decimal to the nearest hundredth.

as a fraction and as a decimal to the nearest hundredth. Express each ratio as a fraction and as a decimal to the nearest hundredth. 1. sin A The sine of an angle is defined as the ratio of the opposite side to the hypotenuse. So, 2. tan C The tangent of an

More information

#2. Isosceles Triangle Theorem says that If a triangle is isosceles, then its BASE ANGLES are congruent.

#2. Isosceles Triangle Theorem says that If a triangle is isosceles, then its BASE ANGLES are congruent. 1 Geometry Proofs Reference Sheet Here are some of the properties that we might use in our proofs today: #1. Definition of Isosceles Triangle says that If a triangle is isosceles then TWO or more sides

More information

Topics Covered on Geometry Placement Exam

Topics Covered on Geometry Placement Exam Topics Covered on Geometry Placement Exam - Use segments and congruence - Use midpoint and distance formulas - Measure and classify angles - Describe angle pair relationships - Use parallel lines and transversals

More information

Grade 4 - Module 4: Angle Measure and Plane Figures

Grade 4 - Module 4: Angle Measure and Plane Figures Grade 4 - Module 4: Angle Measure and Plane Figures Acute angle (angle with a measure of less than 90 degrees) Angle (union of two different rays sharing a common vertex) Complementary angles (two angles

More information

Angles that are between parallel lines, but on opposite sides of a transversal.

Angles that are between parallel lines, but on opposite sides of a transversal. GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,

More information

Geometry: 1-1 Day 1 Points, Lines and Planes

Geometry: 1-1 Day 1 Points, Lines and Planes Geometry: 1-1 Day 1 Points, Lines and Planes What are the Undefined Terms? The Undefined Terms are: What is a Point? How is a point named? Example: What is a Line? A line is named two ways. What are the

More information

Unit 1, Review Transitioning from Previous Mathematics Instructional Resources: McDougal Littell: Course 1

Unit 1, Review Transitioning from Previous Mathematics Instructional Resources: McDougal Littell: Course 1 Unit 1, Review Transitioning from Previous Mathematics Transitioning from previous mathematics to Sixth Grade Mathematics Understand the relationship between decimals, fractions and percents and demonstrate

More information

Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point, called the center of the circle

Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point, called the center of the circle 10.1 Tangents to ircles Goals p Identify segments and lines related to circles. p Use properties of a tangent to a circle. VOULRY ircle The set of all points in a plane that are equidistant from a given

More information

Area. Area Overview. Define: Area:

Area. Area Overview. Define: Area: Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.

More information

100 Math Facts 6 th Grade

100 Math Facts 6 th Grade 100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer

More information

2006 Geometry Form A Page 1

2006 Geometry Form A Page 1 2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches

More information

California Common Core State Standards Comparison- FOURTH GRADE

California Common Core State Standards Comparison- FOURTH GRADE 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics. Standards

More information

of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.

of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. 2901 Clint Moore Road #319, Boca Raton, FL 33496 Office: (561) 459-2058 Mobile: (949) 510-8153 Email: HappyFunMathTutor@gmail.com www.happyfunmathtutor.com GEOMETRY THEORUMS AND POSTULATES GEOMETRY POSTULATES:

More information

Surface Area of Rectangular & Right Prisms Surface Area of Pyramids. Geometry

Surface Area of Rectangular & Right Prisms Surface Area of Pyramids. Geometry Surface Area of Rectangular & Right Prisms Surface Area of Pyramids Geometry Finding the surface area of a prism A prism is a rectangular solid with two congruent faces, called bases, that lie in parallel

More information

Geometry Unit 10 Notes Circles. Syllabus Objective: 10.1 - The student will differentiate among the terms relating to a circle.

Geometry Unit 10 Notes Circles. Syllabus Objective: 10.1 - The student will differentiate among the terms relating to a circle. Geometry Unit 0 Notes ircles Syllabus Objective: 0. - The student will differentiate among the terms relating to a circle. ircle the set of all points in a plane that are equidistant from a given point,

More information

Measure and classify angles. Identify and use congruent angles and the bisector of an angle. big is a degree? One of the first references to the

Measure and classify angles. Identify and use congruent angles and the bisector of an angle. big is a degree? One of the first references to the ngle Measure Vocabulary degree ray opposite rays angle sides vertex interior exterior right angle acute angle obtuse angle angle bisector tudy ip eading Math Opposite rays are also known as a straight

More information

GCSE Maths Linear Higher Tier Grade Descriptors

GCSE Maths Linear Higher Tier Grade Descriptors GSE Maths Linear Higher Tier escriptors Fractions /* Find one quantity as a fraction of another Solve problems involving fractions dd and subtract fractions dd and subtract mixed numbers Multiply and divide

More information

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers. Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

More information

Geometry review There are 2 restaurants in River City located at map points (2, 5) and (2, 9).

Geometry review There are 2 restaurants in River City located at map points (2, 5) and (2, 9). Geometry review 2 Name: ate: 1. There are 2 restaurants in River City located at map points (2, 5) and (2, 9). 2. Aleta was completing a puzzle picture by connecting ordered pairs of points. Her next point

More information

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade Standards/Content Padrões / Conteúdo Learning Objectives Objetivos de Aprendizado Vocabulary Vocabulário Assessments Avaliações Resources

More information

Middle Grades Mathematics 5 9

Middle Grades Mathematics 5 9 Middle Grades Mathematics 5 9 Section 25 1 Knowledge of mathematics through problem solving 1. Identify appropriate mathematical problems from real-world situations. 2. Apply problem-solving strategies

More information

Definitions, Postulates and Theorems

Definitions, Postulates and Theorems Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, :15 a.m. SAMPLE RESPONSE SET

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, :15 a.m. SAMPLE RESPONSE SET The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 29, 2014 9:15 a.m. SAMPLE RESPONSE SET Table of Contents Question 29................... 2 Question 30...................

More information

Honors Geometry Final Exam Study Guide

Honors Geometry Final Exam Study Guide 2011-2012 Honors Geometry Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In each pair of triangles, parts are congruent as marked.

More information

Warm Up. Use A ( 2, 3) and B (1, 0) 1. Find the slope of AB. 2. Find the midpoint of AB. 3. Find the distance of AB. 4. Simplify.

Warm Up. Use A ( 2, 3) and B (1, 0) 1. Find the slope of AB. 2. Find the midpoint of AB. 3. Find the distance of AB. 4. Simplify. Use A ( 2, 3) and B (1, 0) 1. Find the slope of AB. 2. Find the midpoint of AB. 3. Find the distance of AB. Warm Up 4. Simplify. 5. Draw an example of vertical angles. GOALS Develop and apply the

More information

Unit 10: Quadratic Equations Chapter Test

Unit 10: Quadratic Equations Chapter Test Unit 10: Quadratic Equations Chapter Test Part 1: Multiple Choice. Circle the correct answer. 1. The area of a square is 169 cm 2. What is the length of one side of the square? A. 84.5 cm C. 42.25 cm B.

More information

The Protractor Postulate and the SAS Axiom. Chapter The Axioms of Plane Geometry

The Protractor Postulate and the SAS Axiom. Chapter The Axioms of Plane Geometry The Protractor Postulate and the SAS Axiom Chapter 3.4-3.7 The Axioms of Plane Geometry The Protractor Postulate and Angle Measure The Protractor Postulate (p51) defines the measure of an angle (denoted

More information

Each pair of opposite sides of a parallelogram is congruent to each other.

Each pair of opposite sides of a parallelogram is congruent to each other. Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Each pair of opposite

More information

Name Date Class. Lines and Segments That Intersect Circles. AB and CD are chords. Tangent Circles. Theorem Hypothesis Conclusion

Name Date Class. Lines and Segments That Intersect Circles. AB and CD are chords. Tangent Circles. Theorem Hypothesis Conclusion Section. Lines That Intersect Circles Lines and Segments That Intersect Circles A chord is a segment whose endpoints lie on a circle. A secant is a line that intersects a circle at two points. A tangent

More information

10-4 Inscribed Angles. Find each measure. 1.

10-4 Inscribed Angles. Find each measure. 1. Find each measure. 1. 3. 2. intercepted arc. 30 Here, is a semi-circle. So, intercepted arc. So, 66 4. SCIENCE The diagram shows how light bends in a raindrop to make the colors of the rainbow. If, what

More information

Park Forest Math Team. Meet #5. Algebra. Self-study Packet

Park Forest Math Team. Meet #5. Algebra. Self-study Packet Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number

More information

Geometry Course Summary Department: Math. Semester 1

Geometry Course Summary Department: Math. Semester 1 Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give

More information

THE DISTANCE FORMULA

THE DISTANCE FORMULA THE DISTANCE FORMULA In this activity, you will develop a formula for calculating the distance between any two points in a coordinate plane. Part 1: Distance Along a Horizontal or Vertical Line To find

More information

11-1 Areas of Parallelograms and Triangles. Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary.

11-1 Areas of Parallelograms and Triangles. Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 2. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. Each pair of opposite

More information

Whole Numbers and Integers (44 topics, no due date)

Whole Numbers and Integers (44 topics, no due date) Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKU-KPMR9 ALEKS Course: Pre-Algebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole

More information

55 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 220 points.

55 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 220 points. Geometry Core Semester 1 Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which topics you need to review most carefully. The unit

More information

GEOMETRY B: CIRCLE TEST PRACTICE

GEOMETRY B: CIRCLE TEST PRACTICE Class: Date: GEOMETRY B: CIRCLE TEST PRACTICE Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the measures of the indicated angles. Which statement

More information

2 feet Opposite sides of a rectangle are equal. All sides of a square are equal. 2 X 3 = 6 meters = 18 meters

2 feet Opposite sides of a rectangle are equal. All sides of a square are equal. 2 X 3 = 6 meters = 18 meters GEOMETRY Vocabulary 1. Adjacent: Next to each other. Side by side. 2. Angle: A figure formed by two straight line sides that have a common end point. A. Acute angle: Angle that is less than 90 degree.

More information

Study Guide and Review

Study Guide and Review Fill in the blank in each sentence with the vocabulary term that best completes the sentence. 1. A is a flat surface made up of points that extends infinitely in all directions. A plane is a flat surface

More information

Name Geometry Exam Review #1: Constructions and Vocab

Name Geometry Exam Review #1: Constructions and Vocab Name Geometry Exam Review #1: Constructions and Vocab Copy an angle: 1. Place your compass on A, make any arc. Label the intersections of the arc and the sides of the angle B and C. 2. Compass on A, make

More information

Area Long-Term Memory Review Review 1

Area Long-Term Memory Review Review 1 Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter

More information

Geometry Unit 7 (Textbook Chapter 9) Solving a right triangle: Find all missing sides and all missing angles

Geometry Unit 7 (Textbook Chapter 9) Solving a right triangle: Find all missing sides and all missing angles Geometry Unit 7 (Textbook Chapter 9) Name Objective 1: Right Triangles and Pythagorean Theorem In many geometry problems, it is necessary to find a missing side or a missing angle of a right triangle.

More information

EXAMPLE. Step 1 Draw a ray with endpoint C. Quick Check

EXAMPLE. Step 1 Draw a ray with endpoint C. Quick Check -7. lan -7 asic onstructions Objectives o use a compass and a straightedge to construct congruent segments and congruent angles o use a compass and a straightedge to bisect segments and angles Examples

More information

(a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units

(a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units 1. Find the area of parallelogram ACD shown below if the measures of segments A, C, and DE are 6 units, 2 units, and 1 unit respectively and AED is a right angle. (a) 5 square units (b) 12 square units

More information

Formal Geometry S1 (#2215)

Formal Geometry S1 (#2215) Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following course: Formal Geometry S1 (#2215)

More information

Measuring Angles. To find and compare the measures of angles

Measuring Angles. To find and compare the measures of angles hsmgmse_4_t829. -4 easuring ngles ommon ore State Standards G-.. now precise definitions of angle, circle, perpendicular line, parallel line, and line segment... P, P 3, P 6 bjective To find and compare

More information

Study Guide and Review

Study Guide and Review Choose the letter of the word or phrase that best completes each statement. a. ratio b. proportion c. means d. extremes e. similar f. scale factor g. AA Similarity Post h. SSS Similarity Theorem i. SAS

More information

GEOMETRIC FIGURES, AREAS, AND VOLUMES

GEOMETRIC FIGURES, AREAS, AND VOLUMES HPTER GEOMETRI FIGURES, RES, N VOLUMES carpenter is building a deck on the back of a house. s he works, he follows a plan that he made in the form of a drawing or blueprint. His blueprint is a model of

More information

Geometry 8-1 Angles of Polygons

Geometry 8-1 Angles of Polygons . Sum of Measures of Interior ngles Geometry 8-1 ngles of Polygons 1. Interior angles - The sum of the measures of the angles of each polygon can be found by adding the measures of the angles of a triangle.

More information