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


 Lester McLaughlin
 2 years ago
 Views:
Transcription
1
2
3 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 d. The triangles are not congruent. 2. The figure shows part of the roof structure of a house. Use SS to explain why RTU. omplete the explanation. It is given that [1]. Since RTS and RTU are right angles, [2] by the Right ngle ongruence Theorem. y the Reflexive Property of ongruence, [3]. Therefore, RTU by SS. a. [1] RT [2] URT [3] UT b. [1] UT [2] URT [3] UT c. [1] UT [2] RTU [3] RT d. [1] UT [2] RTU [3] SU 1
4 Name: I: 3. What additional information do you need to by the SS Postulate? 4. etermine if you can use S to E. Explain. is E because both are right angles. No other congruence relationships can be determined, so S cannot be applied. is E because both are right angles. y the djacent ngles E. E by S. is E because both are right angles. y the Vertical ngles E. E by S. is E because both are right angles. y the Vertical ngles E. E by SS. 2
5 Name: I: 5. etermine if you can use the HL ongruence Theorem to If not, tell what else you need to know. a. Yes. b. No. You do not know that and are right angles. c. No. You do not know d. No. You do not know that Ä. 6. For these triangles, select the triangle congruence statement and the postulate or theorem that supports it. JLK, HL JLK, SS JKL, HL JKL, SS 3
6 Name: I: 7. pilot uses triangles to find the angle of elevation from the ground to her plane. How can she find m? a. O by SS by PT, so m = 40 by substitution. b. O by PT by SS, so m = 40 by substitution. c. O by S by PT, so m = 40 by substitution. d. O by PT by S, so m = 40 by substitution. 8. Find the value of x. a. x = 6 c. x = 2 b. x = 4 d. x = 8 9. Find m Q. a. m Q = 30 º c. m Q = 70 º b. m Q = 60 º d. m Q = 75 º 4
7 Name: I: 10. Find. a. = 10 b. = 12 c. = 14 d. Not enough information. n equiangular triangle is not necessarily equilateral. 11. Find the measure of each numbered angle. a. m 1 = 54, m 2 = 117, m 3 = 63 b. m 1 = 117, m 2 = 63, m 3 = 63 c. m 1 = 54, m 2 = 63, m 3 = 63 d. m 1 = 54, m 2 = 63, m 3 = 117 5
8 I: SSS nswer Section MULTIPLE HOIE 1. NS: It is given E, and bisects E. y the definition of segment ll three pairs of corresponding sides of the triangles are congruent. E by SSS. orrect! Use the fact that segment bisects segment E. The corresponding sides need to belong to different triangles. Use the fact that segment bisects segment E. The corresponding sides of the triangles are congruent. Use the fact that segment bisects segment E. PTS: 1 IF: asic REF: Page 242 OJ: Using SSS to Prove Triangle ongruence NT: a TOP: 44 Triangle ongruence: SSS and SS 2. NS: It is given that UT. Since RTS and RTU are right angles, RTU by the Right ngle ongruence Theorem. y the Reflexive Property of ongruence, RT. Therefore, RTU by SS. heck the figure to see what is given. ngle SRT and angle URT are not right angles. orrect! Segment SU being congruent to itself does not help in proving the triangles congruent. PTS: 1 IF: verage REF: Page 243 OJ: pplication NT: a TOP: 44 Triangle ongruence: SSS and SS 1
9 I: 3. NS: The SS Postulate is used when two sides and an included angle of one triangle are congruent to the corresponding sides and included angle of a second triangle. From the From the by the Reflexive Property of ongruence. You have two pair of congruent sides, so you need information about the included angles. Use these pairs of sides to determine the included angles. The angle between sides and is. The angle between sides and is. You need to to by the SS Postulate. This information is needed to use the SSS Postulate. orrect! You need the included angle between the two sides. This information is already given. Find information that you need that is not given or true in the figure. PTS: 1 IF: dvanced NT: a TOP: 44 Triangle ongruence: SSS and SS 4. is E because both are right angles. y the Vertical ngles E. E by S. Look for vertical angles. djacent angles are angles in a plane that have their vertex and one side in common but have no interior points in common. ngle and angle E are not adjacent angles. orrect! Use S, not SS, to prove the triangles congruent. PTS: 1 IF: asic REF: Page 253 OJ: pplying S ongruence NT: e TOP: 45 Triangle ongruence: S S and HL 2
10 I: 5. NS: Ä is given. In addition, by the Reflexive Property of Since Ä and ^P, by the Perpendicular Transversal Theorem ^P. y the definition of right angle, is a right angle. Similarly, is a right angle. by the HL ongruence Theorem. orrect! Since line segment is parallel to line segment, what does the Perpendicular Transversal Theorem tell you about line segment and line segment P? What do you know about the other pair of legs of the right triangles and? What do you know about line segments and? PTS: 1 IF: verage REF: Page 255 OJ: pplying HL ongruence NT: e TOP: 45 Triangle ongruence: S S and HL 6. NS: ecause and KJL are right angles, and JKL are right triangles. You are given a pair of congruent JL and a pair of congruent LK. So a hypotenuse and a leg of are congruent to the corresponding hypotenuse and leg of JKL by HL. Segment is congruent to segment JL. Make sure the triangle vertices correspond accordingly. orrect! Segment is congruent to segment JL. Make sure the triangle vertices correspond accordingly. For SS, the angle is included between the sides. For SS, the angle is included between the sides. PTS: 1 IF: dvanced NT: a TOP: 45 Triangle ongruence: S S and HL 3
11 I: 7. NS: From the figure, O,and O. O by the Vertical ngles Theorem. Therefore, O by SS by PT. m = 40 by substitution. orrect! First, show that the triangles are congruent. Then, show that their corresponding parts are congruent. First, show that the triangles are congruent. Then, show that their corresponding parts are congruent. First, show that the triangles are congruent. Then, show that their corresponding parts are congruent. PTS: 1 IF: verage REF: Page 260 OJ: pplication NT: e TOP: 46 Triangle ongruence: PT 8. NS: The triangles can be proved congruent by the SS Postulate. y PT, 3x  5 = 2x + 1. Solve the equation for x. 3x  5 = 2x + 1 3x = 2x + 6 x = 6 orrect! When solving, you can either add 5 or subtract 1 from each side. Remember to combine the like terms when solving. These two triangles have SS congruence, so the two expressions are equal by PT. PTS: 1 IF: dvanced NT: e TOP: 46 Triangle ongruence: PT 4
12 I: 9. NS: m Q = m R = ( 2x + 15) Isosceles Triangle Theorem m P + m Q + m R = 180 Triangle Sum Theorem x + ( 2x + 15) + ( 2x + 15) = 180 Substitute x for m P and substitute 2x + 15 for m Q and m R. 5x = 150 Simplify and subtract 30 from both sides. x = 30 ivide both sides by 5. Thus m Q = ( 2x + 15) = [2( 30) + 15] = 75. This is x. The measure of angle Q is 2x y the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. y the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. orrect! PTS: 1 IF: verage REF: Page 274 OJ: Finding the Measure of an ngle NT: f TOP: 48 Isosceles and Equilateral Triangles 10. NS: is equilateral. Equiangular triangles are equilateral. 2s  10 = s + 2 efinition of equilateral triangle. s = 12 Subtract s and add 10 to both sides of the equation. = 2s  10 = 2( 12)  10 Substitute 12 for s in the equation for. = 14 Simplify. = = 14 efinition of equilateral triangle. Substitute 14 for. Equiangular triangles are equilateral. Use = to solve for s, and then use = or = to find. This is s. Substitute s in the original equation to find. orrect! y a corollary to the Isosceles Triangle Theorem, equiangular triangles are equilateral. Use = to solve for s, and then use = or = to find. PTS: 1 IF: asic REF: Page 275 OJ: Using Properties of Equilateral Triangles TOP: 48 Isosceles and Equilateral Triangles NT: f 5
13 I: 11. NS: Step 1: 2 is supplementary to the angle that is m 2 = 180. So m 2 = 63. Step 2: y the lternate Interior ngles Theorem, 3. So m 2 = m 3 = 63. Step 3: y the Isosceles Triangle Theorem, 2 and the angle opposite the other side of the isosceles triangle are congruent. Let 4 be that unknown angle. Then, 4 and m 2 = m 4 = 63. m 1 + m 2 + m 4 = 180 by the Triangle Sum Theorem. m = 180. So m 1 = 54. ngle 2 is supplementary to the angle that measures 117 degrees. To find the measure of angle 1, use the Isosceles Triangle Theorem. orrect! y the lternate Interior ngles Theorem, angle 2 is congruent to angle 3. PTS: 1 IF: dvanced NT: e TOP: 48 Isosceles and Equilateral Triangles KEY: multistep 6
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 informationTriangle Similarity: AA, SSS, SAS Quiz
Name: lass: ate: I: Triangle Similarity:, SSS, SS Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Explain why the triangles are similar and write a
More informationGeometry Final Assessment 1112, 1st semester
Geometry Final ssessment 1112, 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 informationA 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 midpoint and segment bisector M If a line intersects another line segment
More informationGiven: ABCD is a rhombus. Prove: ABCD is a parallelogram.
Given: is a rhombus. Prove: is a parallelogram. 1. &. 1. Property of a rhombus. 2.. 2. Reflexive axiom. 3.. 3. SSS. + o ( + ) =180 4.. 4. Interior angle sum for a triangle. 5.. 5. PT + o ( + ) =180 6..
More informationPOTENTIAL REASONS: Definition of Congruence:
Sec 6 CC Geometry Triangle Pros Name: POTENTIAL REASONS: Definition Congruence: Having the exact same size and shape and there by having the exact same measures. Definition Midpoint: The point that divides
More informationChapter 1 Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. 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 =
More information11.2 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 informationGeometry 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 informationFinal 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 informationName: Chapter 4 Guided Notes: Congruent Triangles. Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester
Name: Chapter 4 Guided Notes: Congruent Triangles Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester CH. 4 Guided Notes, page 2 4.1 Apply Triangle Sum Properties triangle polygon
More informationChapter 4 Study guide
Name: Class: Date: ID: A Chapter 4 Study guide Numeric Response 1. An isosceles triangle has a perimeter of 50 in. The congruent sides measure (2x + 3) cm. The length of the third side is 4x cm. What is
More information1.2 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 informationPerpendicular 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 informationPARALLEL LINES CHAPTER
HPTR 9 HPTR TL OF ONTNTS 91 Proving Lines Parallel 92 Properties of Parallel Lines 93 Parallel Lines in the oordinate Plane 94 The Sum of the Measures of the ngles of a Triangle 95 Proving Triangles
More information#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 information111 Lines that Intersect Circles Quiz
Name: lass: ate: I: 111 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 informationUnit 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 informationTriangles can be classified by angles and sides. Write a good definition of each term and provide a sketch: Classify triangles by angles:
Chapter 4: Congruent Triangles A. 41 Classifying Triangles Identify and classify triangles by angles. Identify and classify triangles by sides. Triangles appear often in construction. Roofs sit atop a
More informationGeo  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 information1. point, line, and plane 2a. always 2b. always 2c. sometimes 2d. always 3. 1 4. 3 5. 1 6. 1 7a. True 7b. True 7c. True 7d. True 7e. True 8.
1. point, line, and plane 2a. always 2b. always 2c. sometimes 2d. always 3. 1 4. 3 5. 1 6. 1 7a. True 7b. True 7c. True 7d. True 7e. True 8. 3 and 13 9. a 4, c 26 10. 8 11. 20 12. 130 13 12 14. 10 15.
More informationHow Do You Measure a Triangle? Examples
How Do You Measure a Triangle? Examples 1. A triangle is a threesided polygon. A polygon is a closed figure in a plane that is made up of segments called sides that intersect only at their endpoints,
More information55 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 information1. An isosceles trapezoid does not have perpendicular diagonals, and a rectangle and a rhombus are both parallelograms.
Quadrilaterals  Answers 1. A 2. C 3. A 4. C 5. C 6. B 7. B 8. B 9. B 10. C 11. D 12. B 13. A 14. C 15. D Quadrilaterals  Explanations 1. An isosceles trapezoid does not have perpendicular diagonals,
More information(n = # of sides) One interior angle:
6.1 What is a Polygon? Regular Polygon Polygon Formulas: (n = # of sides) One interior angle: 180(n 2) n Sum of the interior angles of a polygon = 180 (n  2) Sum of the exterior angles of a polygon =
More information1. 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 informationA polygon with five sides is a pentagon. A polygon with six sides is a hexagon.
Triangles: polygon is a closed figure on a plane bounded by (straight) line segments as its sides. Where the two sides of a polygon intersect is called a vertex of the polygon. polygon with three sides
More informationDefinitions, 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 informationQuadratic Exploration Quiz
Name: lass: ate: I: Quadratic Exploration Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Tell whether the graph of the quadratic function y = x 2
More informationQUADRILATERALS CHAPTER
HPTER QURILTERLS Euclid s fifth postulate was often considered to be a flaw in his development of geometry. Girolamo Saccheri (1667 1733) was convinced that by the application of rigorous logical reasoning,
More informationChapters 4 and 5 Notes: Quadrilaterals and Similar Triangles
Chapters 4 and 5 Notes: Quadrilaterals and Similar Triangles IMPORTANT TERMS AND DEFINITIONS parallelogram rectangle square rhombus A quadrilateral is a polygon that has four sides. A parallelogram is
More informationGEOMETRY 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 informationUnit 3: Triangle Bisectors and Quadrilaterals
Unit 3: Triangle Bisectors and Quadrilaterals Unit Objectives Identify triangle bisectors Compare measurements of a triangle Utilize the triangle inequality theorem Classify Polygons Apply the properties
More informationChapter 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 informationCONGRUENCE BASED ON TRIANGLES
HTR 174 5 HTR TL O ONTNTS 51 Line Segments ssociated with Triangles 52 Using ongruent Triangles to rove Line Segments ongruent and ngles ongruent 53 Isosceles and quilateral Triangles 54 Using Two
More information**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 information4.3 Congruent Triangles Quiz
Name: Class: Date: ID: A 4.3 Congruent Triangles Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given: ABC MNO Identify all pairs of congruent corresponding
More informationStudent Name: Teacher: Date: District: MiamiDade County Public Schools. Assessment: 9_12 Mathematics Geometry Exam 1
Student Name: Teacher: Date: District: MiamiDade 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 informationPOTENTIAL REASONS: Definition of Congruence: Definition of Midpoint: Definition of Angle Bisector:
Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point
More information3D Objects Quiz. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: ate: I: 3 Objects Quiz 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
More informationM 1312 Section Trapezoids
M 1312 Section 4.4 1 Trapezoids Definition: trapezoid is a quadrilateral with exactly two parallel sides. Parts of a trapezoid: Base Leg Leg Leg Base Base Base Leg Isosceles Trapezoid: Every trapezoid
More informationABC is the triangle with vertices at points A, B and C
Euclidean Geometry Review This is a brief review of Plane Euclidean Geometry  symbols, definitions, and theorems. Part I: The following are symbols commonly used in geometry: AB is the segment from the
More informationSection 91. Basic Terms: Tangents, Arcs and Chords Homework Pages 330331: 118
Chapter 9 Circles Objectives A. Recognize and apply terms relating to circles. B. Properly use and interpret the symbols for the terms and concepts in this chapter. C. Appropriately apply the postulates,
More informationGEOMETRY CONCEPT MAP. Suggested Sequence:
CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons
More informationFor the circle above, EOB is a central angle. So is DOE. arc. The (degree) measure of ù DE is the measure of DOE.
efinition: circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol to represent a circle. The a line segment from the center
More informationGeometry 81 Angles of Polygons
. Sum of Measures of Interior ngles Geometry 81 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 informationInt. Geometry Unit 2 Quiz Review (Lessons 14) 1
Int. Geometry Unit Quiz Review (Lessons 4) Match the examples on the left with each property, definition, postulate, and theorem on the left PROPRTIS:. ddition Property of = a. GH = GH. Subtraction Property
More informationChapter 4 Circles, TangentChord Theorem, Intersecting Chord Theorem and Tangentsecant Theorem
Tampines Junior ollege H3 Mathematics (9810) Plane Geometry hapter 4 ircles, Tangenthord Theorem, Intersecting hord Theorem and Tangentsecant Theorem utline asic definitions and facts on circles The
More informationMath 3372College Geometry
Math 3372College Geometry Yi Wang, Ph.D., Assistant Professor Department of Mathematics Fairmont State University Fairmont, West Virginia Fall, 2004 Fairmont, West Virginia Copyright 2004, Yi Wang Contents
More informationNAME DATE PERIOD. Study Guide and Intervention
opyright Glencoe/McGrawHill, a division of he McGrawHill ompanies, Inc. 51 M IO tudy Guide and Intervention isectors, Medians, and ltitudes erpendicular isectors and ngle isectors perpendicular bisector
More informationChapter Three. Parallel Lines and Planes
Chapter Three Parallel Lines and Planes Objectives A. Use the terms defined in the chapter correctly. B. Properly use and interpret the symbols for the terms and concepts in this chapter. C. Appropriately
More informationThe Protractor Postulate and the SAS Axiom. Chapter The Axioms of Plane Geometry
The Protractor Postulate and the SAS Axiom Chapter 3.43.7 The Axioms of Plane Geometry The Protractor Postulate and Angle Measure The Protractor Postulate (p51) defines the measure of an angle (denoted
More informationConjectures. Chapter 2. Chapter 3
Conjectures Chapter 2 C1 Linear Pair Conjecture If two angles form a linear pair, then the measures of the angles add up to 180. (Lesson 2.5) C2 Vertical Angles Conjecture If two angles are vertical
More informationGeo, Chap 4 Practice Test, EV Ver 1
Class: Date: Geo, Chap 4 Practice Test, EV Ver 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. (43) In each pair of triangles, parts are congruent as
More informationAlgebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids
Algebra III Lesson 33 Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids Quadrilaterals What is a quadrilateral? Quad means? 4 Lateral means?
More informationof 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) 4592058 Mobile: (949) 5108153 Email: HappyFunMathTutor@gmail.com www.happyfunmathtutor.com GEOMETRY THEORUMS AND POSTULATES GEOMETRY POSTULATES:
More informationGoal Find angle measures in triangles. Key Words corollary. Student Help. Triangle Sum Theorem THEOREM 4.1. Words The sum of the measures of EXAMPLE
Page of 6 4. ngle Measures of Triangles Goal Find angle measures in triangles. The diagram below shows that when you tear off the corners of any triangle, you can place the angles together to form a straight
More informationIncenter and Circumcenter Quiz
Name: lass: ate: I: Incenter and ircumcenter Quiz Multiple hoice Identify the choice that best completes the statement or answers the question.. The diagram below shows the construction of the center of
More informationCONGRUENT TRIANGLES 6.1.1 6.1.4
ONGUN INGL 6.1.1 6.1.4 wo triangles are congruent if there is a sequence of rigid transformations that carry one onto the other. wo triangles are also congruent if they are similar figures with a ratio
More informationLesson 2: Circles, Chords, Diameters, and Their Relationships
Circles, Chords, Diameters, and Their Relationships Student Outcomes Identify the relationships between the diameters of a circle and other chords of the circle. Lesson Notes Students are asked to construct
More informationINDEX. Arc Addition Postulate,
# 3060 right triangle, 441442, 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 information22.1 Interior and Exterior Angles
Name Class Date 22.1 Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? Resource Locker Explore 1 Exploring Interior
More informationA geometric construction is a drawing of geometric shapes using a compass and a straightedge.
Geometric Construction Notes A geometric construction is a drawing of geometric shapes using a compass and a straightedge. When performing a geometric construction, only a compass (with a pencil) and a
More informationGeometry Essential Curriculum
Geometry Essential Curriculum Unit I: Fundamental Concepts and Patterns in Geometry Goal: The student will demonstrate the ability to use the fundamental concepts of geometry including the definitions
More informationCircle Theorems. This circle shown is described an OT. As always, when we introduce a new topic we have to define the things we wish to talk about.
Circle s circle is a set of points in a plane that are a given distance from a given point, called the center. The center is often used to name the circle. T This circle shown is described an OT. s always,
More informationGeometry. Unit 6. Quadrilaterals. Unit 6
Geometry Quadrilaterals Properties of Polygons Formed by three or more consecutive segments. The segments form the sides of the polygon. Each side intersects two other sides at its endpoints. The intersections
More informationSeattle Public Schools KEY to Review Questions for the Washington State Geometry End of Course Exam
Seattle Public Schools KEY to Review Questions for the Washington State Geometry End of ourse Exam 1) Which term best defines the type of reasoning used below? bdul broke out in hives the last four times
More information1.7 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 informationContent 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 informationA (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 informationChapter 5.1 and 5.2 Triangles
Chapter 5.1 and 5.2 Triangles Students will classify triangles. Students will define and use the Angle Sum Theorem. A triangle is formed when three noncollinear points are connected by segments. Each
More informationPreAlgebra Lesson 61 to 63 Quiz
Prelgebra Lesson 61 to 63 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 informationPolygons in the Coordinate Plane. isosceles 2. X 2 4
Name lass ate 67 Practice Form G Polgons in the oordinate Plane etermine whether k is scalene, isosceles, or equilateral. 1. isosceles. scalene 3. scalene. isosceles What is the most precise classification
More informationSum of the interior angles of a nsided Polygon = (n2) 180
5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a nsided Polygon = (n2) 180 What you need to know: How to use the formula
More informationConjectures for Geometry for Math 70 By I. L. Tse
Conjectures for Geometry for Math 70 By I. L. Tse Chapter Conjectures 1. Linear Pair Conjecture: If two angles form a linear pair, then the measure of the angles add up to 180. Vertical Angle Conjecture:
More informationTangents 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 information11.3 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 informationState the assumption you would make to start an indirect proof of each statement.
1. State the assumption you would make to start an indirect proof of each statement. Identify the conclusion you wish to prove. The assumption is that this conclusion is false. 2. is a scalene triangle.
More informationGeo  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 informationLesson 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 information121. Tangent Lines. Vocabulary. Review. Vocabulary Builder HSM11_GEMC_1201_T Use Your Vocabulary
11 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 informationName Period 11/2 11/13
Name Period 11/2 11/13 Vocabulary erms: ongruent orresponding Parts ongruency statement Included angle Included side GOMY UNI 6 ONGUN INGL HL Nonincluded side Hypotenuse Leg 11/5 and 11/12 eview 11/6,,
More informationCh 3 Worksheets S15 KEY LEVEL 2 Name 3.1 Duplicating Segments and Angles [and Triangles]
h 3 Worksheets S15 KEY LEVEL 2 Name 3.1 Duplicating Segments and ngles [and Triangles] Warm up: Directions: Draw the following as accurately as possible. Pay attention to any problems you may be having.
More information4.1 Converse of the Pyth TH and Special Right Triangles
Name Per 4.1 Converse of the Pyth TH and Special Right Triangles CONVERSE OF THE PYTHGOREN THEOREM Can be used to check if a figure is a right triangle. If triangle., then BC is a Eample 1: Tell whether
More informationChapter 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 informationGEOMETRIC 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 information5.6 Angle Bisectors and
age 1 of 8 5.6 ngle isectors and erpendicular isectors oal Use angle bisectors and perpendicular bisectors. ey Words distance from a point to a line equidistant angle bisector p. 61 perpendicular bisector
More informationNotes on Congruence 1
ongruence1 Notes on ongruence 1 xiom 1 (1). If and are distinct points and if is any point, then for each ray r emanating from there is a unique point on r such that =. xiom 2 (2). If = and = F, then
More informationCircles in Triangles. This problem gives you the chance to: use algebra to explore a geometric situation
Circles in Triangles This problem gives you the chance to: use algebra to explore a geometric situation A This diagram shows a circle that just touches the sides of a right triangle whose sides are 3 units,
More informationMath 531, Exam 1 Information.
Math 531, Exam 1 Information. 9/21/11, LC 310, 9:059:55. Exam 1 will be based on: Sections 1A  1F. The corresponding assigned homework problems (see http://www.math.sc.edu/ boylan/sccourses/531fa11/531.html)
More informationGrade 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 informationNCERT. In examples 1 and 2, write the correct answer from the given four options.
MTHEMTIS UNIT 2 GEOMETRY () Main oncepts and Results line segment corresponds to the shortest distance between two points. The line segment joining points and is denoted as or as. ray with initial point
More informationGeometry 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 information4.1 Apply Triangle Sum Properties
4.1 Apply Triangle Sum Properties Obj.: Classify triangles and find measures of their angles. Key Vocabulary Triangle  A triangle is a polygon w it h three sid es. A t r ian gle w it h ver t ices A, B,
More informationSet 4: Special Congruent Triangles Instruction
Instruction Goal: To provide opportunities for students to develop concepts and skills related to proving right, isosceles, and equilateral triangles congruent using realworld problems Common Core Standards
More informationIntermediate Math Circles October 10, 2012 Geometry I: Angles
Intermediate Math Circles October 10, 2012 Geometry I: Angles Over the next four weeks, we will look at several geometry topics. Some of the topics may be familiar to you while others, for most of you,
More information1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area?
1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area? (a) 20 ft x 19 ft (b) 21 ft x 18 ft (c) 22 ft x 17 ft 2. Which conditional
More informationGeometry 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 informationGEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT!
GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT! FINDING THE DISTANCE BETWEEN TWO POINTS DISTANCE FORMULA (x₂x₁)²+(y₂y₁)² Find the distance between the points ( 3,2) and
More informationChapter 4: Congruent Triangles
Name: Chapter 4: Congruent Triangles Guided Notes Geometry Fall Semester 4.1 Apply Triangle Sum Properties CH. 4 Guided Notes, page 2 Term Definition Example triangle polygon sides vertices Classifying
More information