# Geometry EOC Practice Test #2

Size: px
Start display at page:

Transcription

1 Class: Date: Geometry EOC Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep. What is the maximum number of supply boxes can she pack in this crate? a. 200 b. 300 c. 450 d A local artist creates a piece with two glass cylinders filled with colored water. The second cylinder has the same radius, but is twice as tall as the cylinder shown above. What is the relationship between the volume of the first cylinder and the second cylinder? a. The volume of the second cylinder is one-half the volume of the first cylinder. b. The volume of the second cylinder is one-fourth the volume of the first cylinder. c. The volume of the second cylinder is the same as the volume of the first cylinder. d. The volume of the second cylinder is twice the volume of the first cylinder. 1

2 3. Triangle ABC shows the measures of the three angles. Which expression gives the greatest value? a. AB + BC b. AC + BC c. AB + AC d. 1 2 AC 4. How do you write the inverse of the conditional statement below? If m 1 = 60, then 1 is acute. a. If m 1 = 60, then 1 is not acute. b. If 1 is not acute, then m c. If 1 is acute, then m 1 = 60. d. If m 1 60, then 1 is not acute. 5. A triangle is dilated by a scale factor of 1 to produce a new triangle. Which of the following best 3 describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle? a. The perimeter of the new triangle is 1 3 that of the original triangle. b. The perimeter of the new triangle is 3 times that of the original triangle. c. The perimeter of the new triangle is 1 9 that of the original triangle. d. The perimeter of the new triangle is 9 times that of the original triangle. 2

3 6. How many vertices does the polyhedron below have? a. 8 b. 10 c. 12 d Which type of transformation does NOT necessarily result in the image being congruent to the preimage? a. dilation b. reflection c. rotation d. translation 8. A plane is flying at an altitude of 12,000 feet and is preparing to land at a nearby airport. The angle from the airport to the plane is 17. To the nearest tenth of a foot, how far is the airport from the plane? a. 3,668.8 feet b. 12,548.3 feet c. 39,250.2 feet d. 41,043.6 feet 3

4 9. Which of the following correctly shows the number of faces, edges, and vertices of the triangular prism below? a. 5 faces, 6 edges, 9 vertices b. 5 faces, 9 edges, 6 vertices c. 6 faces, 9 edges, 5 vertices d. 6 faces, 10 edges, 6 vertices 10. Martin built a box to store his video games. The box is shown below. Martin needed more storage and built a similar box that was one-third of each the length, the width, and the height of the first box. By what factor does the change in dimension between the two boxes affect the surface area? a. The surface area of the smaller box is 1 3 b. The surface area of the smaller box is 1 6 c. The surface area of the smaller box is 1 9 d. The surface area of the smaller box is 2 3 of the surface area of the larger box. of the surface area of the larger box. of the surface area of the larger box. of the surface area of the larger box. 4

5 11. Use the diagram below and the information given. What is the last reason in the proof? Given: AB Ä XY AY bisects XB. Prove: AB XY Statement Reason 1. AB Ä XY 1. Given 2. B X A Y 3. AY bisects XB. 3. Given 2. Alternate interior angles of parallel lines are congruent. 4. JB JX 4. Definition of segment bisector 5. AJB YJK 5. AAS 6. AB YX 6.? a. SAS c. SSS b. ASA d. CPCTC 5

6 12. Maria drew the map shown below. On the map, Main Street is perpendicular to Central Avenue. Which of the following is a valid conjecture Maria can make based on the map below? a. The distance from the School to the Post Office is less than the distance from the School to the Bank. b. The distance from the Post Office to the Bank is less than the distance from the School to the Bank. c. The distance from the School to the Post Office is less than the distance from the Post Office to the Bank. d. The distance from the Post Office to the Bank is less than the distance from the Post Office to the School. 13. Which type of transformation could have been used to create the symmetric traffic sign shown below? a. dilation b. reflection c. rotation d. translation 6

7 14. What is the converse and the truth value of the converse of the following conditional statement? If an angle is a right angle, then its measure is 90. a. If an angle is NOT a right angle, then its measure is 90. False b. If an angle is NOT a right angle, then its measure is NOT 90. True c. If an angle has a measure of 90, then it is a right angle. False d. If an angle has a measure of 90, then it is a right angle. True 15. What are the center and radius of the circle with equation (x + 2) 2 + (y + 10) 2 = 25? a. center ( 2, 10); r = 5 c. center ( 2, 10); r = 10 b. center (2, 10); r = 5 d. center (10, 2); r = What is the approximate value of x in the diagram below? a. 7.6 centimeters c centimeters b. 8.4 centimeters d centimeters 17. Helena creates two similar rectangles using exactly 100 cm of string. The smaller rectangle is 4 cm by 6 cm. What are the dimensions of the larger rectangle? a. 18 cm by 22 cm b. 16 cm by 24 cm c. 20 cm by 30 cm d. 36 cm by 54 cm 7

8 18. Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase the size of the deck by doubling each dimension. What will the area of the deck be after she doubles the length and width? a. 144 square feet b. 192 square feet c. 226 square feet d. 384 square feet 19. What is the missing reason in the proof? Given: JKLM is a parallelogram. Prove: J L Statements Reasons 1. JKLM is a 1. Given parallelogram. 2. KL Ä JM 2. Definition of a parallelogram 3. J and K are 3.? supplementary. 4. JK Ä ML 4. Definition of a parallelogram 5. L and K are 5. (Same as step 3.) supplementary. 6. J L 6. J and L are supplements of the same angle. a. Same-Side Interior Angles Theorem c. Same-Side Exterior Angles Theorem b. Corresponding Angles Theorem d. Triangle Angle-Sum Theorem 8

9 20. Vicky looked at the outside of a circular stadium with binoculars. She estimated the angle of her vision was reduced to 60º. She is positioned so that the line of site on either side is tangent to the stadium. What was the measure of the arc of the stadium intercepted by the lines of site? a. 60º c. 120º b. 80º d. 160º 21. The coordinates of endpoint A in AB are at A( 3, 0). If the midpoint of the segment is at M(2, 3), what are the coordinates of point B? a. ( 0.5, 1.5) b. ( 0.5, 3) c. (7, 6) d. (6, 5) 22. Which represents the faces of a icosahedron? a. 3 triangles b. 10 triangles c. 16 triangles d. 20 triangles 23. In the triangle below, 2x + 4 is the longest side. Which inequality represents the possible values of x? a. 3 < x < 9 c. 4.5 < x < 9 b. 4 < x < 8.5 d > x > 17 9

10 24. In triangle ABC, PQ is parallel to BC. What is the length of PB, in centimeters? a. 10 centimeters c. 20 centimeters b. 12 centimeters d. 30 centimeters 25. The clock below is in the shape of a regular pentagon. What is x, the degree measure that the bottom side of the clock makes with the surface of the table? a. 72 b. 108 c. 112 d

11 26. Which of the following would you NOT use to prove that quadrilateral ABCD is an isosceles trapezoid? a. The distance from A to B is equal to the distance from C to D. b. The slope of segment BC is equal to the slope of segment AD. c. m B + m C = 180 d. The slope of segment AB is NOT equal to the slope of segment CD. 27. An athlete is running along a circular path that has a diameter of 250 yards. The arc traveled by the athlete is 120. Using 3.14 for π, how many yards did the athlete run? Round the answer to the nearest yard. a. 131 yards b. 262 yards c. 376 yards d. 545 yards 11

12 28. Given: AB Ä GH, AC Prove: ABC HGF Ä FH, AC FH Complete the flowchart proof. Proof: AB Ä GH B G Given 1. AC Ä FH ACB HFG ABC HGF Given 2. AAS AC FH Given a. 1. Alternate Exterior Angles Theorem 2. Alternate Interior Angles Theorem b. 1. Alternate Interior Angles Theorem 2. Alternate Exterior Angles Theorem c. 1. Alternate Exterior Angles Theorem 2. Alternate Exterior Angles Theorem d. 1. Alternate Interior Angles Theorem 2. Alternate Interior Angles Theorem 29. Which statements are always logically equivalent? a. the converse of a conditional statement and contrapositive of a conditional statement b. the conditional statement and its inverse c. the conditional statement and its contrapositive d. the inverse and contrapositive of a conditional statement 12

13 30. In the drawing below, line h is parallel to line k. What is the value of y? a. 135 b. 15 c. 35 d The vertices of the trapezoid is represented by A(4a, 4b), B(4c, 4b), and C(4d, 0). What is the midpoint of the midsegment of the trapezoid? a. (a + c + d, b) c. (a + c + d, 2b) b. (2c, 2b) d. (2a + 2d, 2b) 32. In order to determine the area of a trapezoid, you must know the height. What is the height of the trapezoid shown? a. 3 c. 5 b d

14 33. The figure represents the overhead view of a deck surrounding a hot tub. What is the approximate area of the deck? a square meters b square meters c square meters d square meters 34. Which of the following is the correct equation for the circle shown below? a. ( x 1) + Ê ËÁ y + 2 ˆ 2 = 49 b. ( x + 1) + Ê ËÁ y 2 ˆ 2 = 49 c. ( x 1) + Ê ËÁ y + 2 ˆ 2 = 7 d. ( x + 1) + Ê ËÁ y 2 ˆ 2 = 7 14

15 35. Find the difference in the surface area of the two spheres below. a. 36π b. 144π c. 288π d. 576π 36. Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar painting that has dimensions that are 2 3 be? a. 36 square feet c. 12 square feet b. 16 square feet d the size of the original. What will the area of the new painting square feet 37. Sarah is building a chair for her front porch. She cuts each leg so that they form a 45 angle with the base of the seat of the chair as shown in the diagram below. What angle does the front of each leg make with the ground, x, in order to ensure that the seat of the chair is parallel with the ground? a. 45 b. 90 c. 135 d

16 38. Find the surface area of the prism below.. a. 120 units 2 c. 168 units 2 b. 144 units 2 d. 180 units Given: AB Ä DE. Which can be used to prove ABC EDC? a. AA Similarity Postulate c. ASA Similarity Theorem b. SSS Similarity Theorem d. SAS Similarity Theorem 40. Which of the following is NOT necessarily a true statement? a. x < 20 b. x < 17 c. x 2 + y 2 = 400 d. m ABC > m BAC 16

17 41. A lighthouse warns ships of impending danger and must be viewed from miles away. A particular lighthouse can be seen from 20 miles. Find the equation of the circle the lighthouse makes as it lights the water. a. ( x 30) Ê ËÁ y 30 ˆ 2 = 400 b. ( x + 30) + Ê ËÁ y + 30 ˆ 2 = 400 c. ( x 30) + Ê ËÁ y 30 ˆ 2 = 400 d. ( x 30) + Ê ËÁ y 30 ˆ 2 = Find the value of x. a meters b meters c meters d meters 17

18 43. In the proof below, what is the missing reason? Given: ABCD is a kite Prove: B D Statement 1. AB AD and BC CD 1. Definition of kite Reason 2. AC AC 2. Reflexive Property of equality 3. ABC ADC 3. SSS 4. B D 4.? a. SAS c. SSS b. CPCTC d. AAS 44. Given: A C Which of the following conjectures can NOT be made based on the diagram and the given information? a. AXB DCX b. AXB CXD c. AB Ä CD d. AXB DXC 18

19 45. To prove that parallelogram ABCD with vertices A( 5, 1), B( 9, 6), C( 1, 5), and D(3, 2) is a rhombus, you must show that it is a parallelogram with perpendicular diagonals. What are the slopes of the diagonals? a. 3 2 and 2 3 c. 1 2 and 2 3 b. 1 and 1 d. 4 7 and In trapezoid ABCD below, what is the value of a, to the nearest tenth of a centimeter? a centimeters c centimeters b centimeters d centimeters 19

20 47. Triangle LMN has the vertices shown on the coordinate grid. What is the length of LM? a. 7 units b. 61 units c. 6 2 units d. 74 units 48. Which conjecture is true? a. An even number plus 3 is always even. b. An even number plus 3 is always prime. c. An even number plus 3 is always odd. d. A prime number plus 3 is always even. 49. Which type of regular polyhedron is represented by the net below? a. dodecahedron b. octahedron c. tetrahedron d. hexahedron 20

21 50. Given ABCD as marked, what additional information would help you to prove that ABCD is a square? a. AC BD c. AC and BD bisect each other. b. AC BD d. AC bisects DAB and BCD. BD bisects ABC and CDA. 51. Find the measure of each interior angle of a regular 45-gon. a. 176 b. 164 c. 172 d What is the contrapositive of the statement below? If today is Friday, then tomorrow is Saturday. a. If tomorrow is not Saturday, then today is not Friday. b. If today is Saturday, then tomorrow is not Friday. c. If tomorrow is Saturday, then today is Friday. d. If today is not Friday, then tomorrow is not Saturday. 21

22 53. What is the length of the altitude in equilateral triangle ABC? a. 4 centimeters c. 4 3 centimeters b. 4 2 centimeters d. 8 2 centimeters 54. A rectangle has a perimeter of 14 inches. A similar rectangle has a perimeter of 42 inches. The area of the smaller rectangle is 10 square inches. What is the area of the larger rectangle? a. 3.3 square inches b square inches c square inches d square inches 22

23 55. In ΔXYZ, what is the cosine ratio of X? a. b. c. d

24 Geometry EOC Practice Test #2 Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 STA: MA.912.G ANS: D PTS: 1 DIF: Moderate REF: Geom: 12-4 STA: MA.912.G ANS: B PTS: 1 DIF: Moderate REF: Geom: 5-3 STA: MA.912.G ANS: D PTS: 1 DIF: Low REF: Geom: 2-3 STA: MA.912.D ANS: A PTS: 1 STA: MA.912.G ANS: B PTS: 1 DIF: Low REF: Geom: 1-7 STA: MA.912.G ANS: A PTS: 1 DIF: Low REF: Geom: 7-6 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.T ANS: B PTS: 1 DIF: Moderate REF: Geom: 1-7 STA: MA.912.G ANS: C PTS: 1 DIF: Moderate REF: Geom: 12-6 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.G ANS: D PTS: 1 DIF: Low REF: Geom: 2-1, 2-2, 8-2 STA: MA.912.G ANS: B PTS: 1 DIF: Moderate REF: Geom: 9-1 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.D ANS: A PTS: 1 STA: MA.912.G ANS: A PTS: 1 STA: MA.912.T ANS: B PTS: 1 STA: MA.912.G ANS: D PTS: 1 DIF: Moderate REF: Geom: 11-5 STA: MA.912.G.2.5; MA.912.G ANS: A PTS: 1 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: C PTS: 1 DIF: Moderate REF: Geom: 1-3 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.G ANS: A PTS: 1 STA: MA.912.G ANS: C PTS: 1 DIF: Moderate REF: Geom: 7-4 STA: MA.912.G.2.3; MA.912.G.4.4; MA.912.G ANS: A PTS: 1 DIF: High REF: Geom: 6-1 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: B PTS: 1 DIF: Moderate REF: Geom: 10-2, 10-3 STA: MA.912.G.6.5 MA.912.G.6.4 1

25 28. ANS: B PTS: 1 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.D ANS: D PTS: 1 DIF: Moderate REF: Geom: 3-1, 3-2 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: B PTS: 1 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: B PTS: 1 DIF: Moderate REF: Geom: 10-8 STA: MA.912.G.6.6; MA.912.G ANS: B A B C D Feedback PTS: 1 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.G ANS: C PTS: 1 DIF: Moderate REF: Geom: 3-1, 3-2 STA: MA.912.G ANS: C A B C D Feedback PTS: 1 STA: MA.912.G ANS: A PTS: 1 DIF: Moderate REF: Geom: 7-3 STA: MA.912.G.4.6 MA.912.G ANS: B PTS: 1 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.T ANS: B PTS: 1 DIF: Moderate REF: Geom: 6-6 STA: MA.912.D.6.4 MA.912.G.3.4 MA.912.G ANS: A PTS: 1 DIF: High REF: Geom: 2-1, 2-2, 4-3 STA: MA.912.G ANS: A PTS: 1 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.G ANS: D PTS: 1 DIF: Moderate REF: Geom: 1-3 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: C PTS: 1 DIF: Low REF: Geom: 1-7, 1-7 Extend STA: MA.912.G.7.1 2

26 50. ANS: A PTS: 1 STA: MA.912.G ANS: C PTS: 1 STA: MA.912.G ANS: A PTS: 1 DIF: Low REF: Geom: 2-3 STA: MA.912.D ANS: C PTS: 1 STA: MA.912.G ANS: D PTS: 1 STA: MA.912.G ANS: A PTS: 1 STA: MA.912.T.2.1 3

### Geometry EOC Practice Test #3

Class: Date: Geometry EOC Practice Test #3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which regular polyhedron has 12 petagonal faces? a. dodecahedron

### Geometry EOC Practice Test #4

Class: Date: Geometry EOC Practice Test #4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the diagram below, which expression represents x, the degree

### 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

### Conjectures. Chapter 2. Chapter 3

Conjectures Chapter 2 C-1 Linear Pair Conjecture If two angles form a linear pair, then the measures of the angles add up to 180. (Lesson 2.5) C-2 Vertical Angles Conjecture If two angles are vertical

### GEOMETRY 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

### 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

### Conjectures 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:

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, August 13, 2013 8:30 to 11:30 a.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, August 13, 2013 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2009 8:30 to 11:30 a.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2009 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your

### /27 Intro to Geometry Review

/27 Intro to Geometry Review 1. An acute has a measure of. 2. A right has a measure of. 3. An obtuse has a measure of. 13. Two supplementary angles are in ratio 11:7. Find the measure of each. 14. In the

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, June 17, 2010 1:15 to 4:15 p.m., only Student Name: School Name: Print your name and the name of your

### Geometry EOC Item Specs Practice Test

Class: Date: Geometry EOC Item Specs Practice Test 1 Which of the following is the converse of the following statement? If today is Sunday, then tomorrow is Monday a If tomorrow is Monday, then today is

### Cumulative Test. 161 Holt Geometry. Name Date Class

Choose the best answer. 1. P, W, and K are collinear, and W is between P and K. PW 10x, WK 2x 7, and PW WK 6x 11. What is PK? A 2 C 90 B 6 D 11 2. RM bisects VRQ. If mmrq 2, what is mvrm? F 41 H 9 G 2

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2015 8:30 to 11:30 a.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications

### Geometry Module 4 Unit 2 Practice Exam

Name: Class: Date: ID: A Geometry Module 4 Unit 2 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which diagram shows the most useful positioning

### http://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4

of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the

### 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,

### Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test

Thinkwell s Homeschool Geometry Course Lesson Plan: 34 weeks Welcome to Thinkwell s Homeschool Geometry! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan

### 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

### Algebra 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?

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

### High School Geometry Test Sampler Math Common Core Sampler Test

High School Geometry Test Sampler Math Common Core Sampler Test Our High School Geometry sampler covers the twenty most common questions that we see targeted for this level. For complete tests and break

### Florida Geometry EOC Assessment Study Guide

Florida Geometry EOC Assessment Study Guide The Florida Geometry End of Course Assessment is computer-based. During testing students will have access to the Algebra I/Geometry EOC Assessments Reference

### SA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid

Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.

### Georgia Online Formative Assessment Resource (GOFAR) AG geometry domain

AG geometry domain Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 36 ) 1. Amy drew a circle graph to represent

### Hon Geometry Midterm Review

Class: Date: Hon Geometry Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1. Figure 1 1. Name the plane containing lines m

### 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:

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

Name: Class: Date: ID: A Q3 Geometry Review Multiple Choice Identify the choice that best completes the statement or answers the question. Graph the image of each figure under a translation by the given

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, January 26, 2016 1:15 to 4:15 p.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, January 26, 2016 1:15 to 4:15 p.m., only Student Name: School Name: The possession or use of any communications

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 18, 2010 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of

### POTENTIAL 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

### 39 Symmetry of Plane Figures

39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that

### CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.

TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, 2012 8:30 to 11:30 a.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your

### 56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.

6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, June 20, 2012 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

### DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.

DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent

### alternate interior angles

alternate interior angles two non-adjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles); alternate

### Teacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.

Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 9-1.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles

### Selected practice exam solutions (part 5, item 2) (MAT 360)

Selected practice exam solutions (part 5, item ) (MAT 360) Harder 8,91,9,94(smaller should be replaced by greater )95,103,109,140,160,(178,179,180,181 this is really one problem),188,193,194,195 8. On

### Conjunction is true when both parts of the statement are true. (p is true, q is true. p^q is true)

Mathematical Sentence - a sentence that states a fact or complete idea Open sentence contains a variable Closed sentence can be judged either true or false Truth value true/false Negation not (~) * Statement

### Chapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?

Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

### CSU Fresno Problem Solving Session. Geometry, 17 March 2012

CSU Fresno Problem Solving Session Problem Solving Sessions website: http://zimmer.csufresno.edu/ mnogin/mfd-prep.html Math Field Day date: Saturday, April 21, 2012 Math Field Day website: http://www.csufresno.edu/math/news

### 2nd Semester Geometry Final Exam Review

Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular

### New York State Student Learning Objective: Regents Geometry

New York State Student Learning Objective: Regents Geometry All SLOs MUST include the following basic components: Population These are the students assigned to the course section(s) in this SLO all students

### Geometry Enduring Understandings Students will understand 1. that all circles are similar.

High School - Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,

### 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

### 2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship

Geometry Honors Semester McDougal 014-015 Day Concepts Lesson Benchmark(s) Complexity Level 1 Identify Points, Lines, & Planes 1-1 MAFS.91.G-CO.1.1 1 Use Segments & Congruence, Use Midpoint & 1-/1- MAFS.91.G-CO.1.1,

### Geometry Unit 6 Areas and Perimeters

Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose

### Chapter 8 Geometry We will discuss following concepts in this chapter.

Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles

### Curriculum Map by Block Geometry Mapping for Math Block Testing 2007-2008. August 20 to August 24 Review concepts from previous grades.

Curriculum Map by Geometry Mapping for Math Testing 2007-2008 Pre- s 1 August 20 to August 24 Review concepts from previous grades. August 27 to September 28 (Assessment to be completed by September 28)

### Section 9-1. Basic Terms: Tangents, Arcs and Chords Homework Pages 330-331: 1-18

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,

### Spring 2013 Geometry End-of-Course (EOC) Assessment Next Generation Sunshine State Standards (NGSSS) Form 1

cautions should be considered when using Reports? on page of this report. Spring 013 Geometry End-of-Course (EOC) Assessment Form 1 MA.91.G.1.1 Distance; Midpoint/distance MA.91.G.1.3 Parallelism MA.91.G..

### Applications for Triangles

Not drawn to scale Applications for Triangles 1. 36 in. 40 in. 33 in. 1188 in. 2 69 in. 2 138 in. 2 1440 in. 2 2. 188 in. 2 278 in. 2 322 in. 2 none of these Find the area of a parallelogram with the given

### Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.

Chapter 11: Areas of Plane Figures (page 422) 11-1: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length

### Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

Quadrilaterals / Mathematics Unit: 11 Lesson: 01 Duration: 7 days Lesson Synopsis: In this lesson students explore properties of quadrilaterals in a variety of ways including concrete modeling, patty paper

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name

### Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees

Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in

### 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.

### 4. How many integers between 2004 and 4002 are perfect squares?

5 is 0% of what number? What is the value of + 3 4 + 99 00? (alternating signs) 3 A frog is at the bottom of a well 0 feet deep It climbs up 3 feet every day, but slides back feet each night If it started

### Area of Parallelograms (pages 546 549)

A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular

### GEOMETRY COMMON CORE STANDARDS

1st Nine Weeks Experiment with transformations in the plane G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,

### Geometry. Higher Mathematics Courses 69. Geometry

The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and

### PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the

### 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

### Comprehensive Benchmark Assessment Series

Test ID #1910631 Comprehensive Benchmark Assessment Series Instructions: It is time to begin. The scores of this test will help teachers plan lessons. Carefully, read each item in the test booklet. Select

### Lesson 9.1 The Theorem of Pythagoras

Lesson 9.1 The Theorem of Pythagoras Give all answers rounded to the nearest 0.1 unit. 1. a. p. a 75 cm 14 cm p 6 7 cm 8 cm 1 cm 4 6 4. rea 9 in 5. Find the area. 6. Find the coordinates of h and the radius

### Pythagorean Theorem: 9. x 2 2

Geometry Chapter 8 - Right Triangles.7 Notes on Right s Given: any 3 sides of a Prove: the is acute, obtuse, or right (hint: use the converse of Pythagorean Theorem) If the (longest side) 2 > (side) 2

### Shape Dictionary YR to Y6

Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use

### 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

### 43 Perimeter and Area

43 Perimeter and Area Perimeters of figures are encountered in real life situations. For example, one might want to know what length of fence will enclose a rectangular field. In this section we will study

### 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

### Practice Test Answer and Alignment Document Mathematics: Geometry Performance Based Assessment - Paper

The following pages include the answer key for all machine-scored items, followed by the rubrics for the hand-scored items. - The rubrics show sample student responses. Other valid methods for solving

### 1. A plane passes through the apex (top point) of a cone and then through its base. What geometric figure will be formed from this intersection?

Student Name: Teacher: Date: District: Description: Miami-Dade County Public Schools Geometry Topic 7: 3-Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its

### 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

### Math 531, Exam 1 Information.

Math 531, Exam 1 Information. 9/21/11, LC 310, 9:05-9:55. 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)

### Sandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.

Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D.

### Three-Dimensional Figures or Space Figures. Rectangular Prism Cylinder Cone Sphere. Two-Dimensional Figures or Plane Figures

SHAPE NAMES Three-Dimensional Figures or Space Figures Rectangular Prism Cylinder Cone Sphere Two-Dimensional Figures or Plane Figures Square Rectangle Triangle Circle Name each shape. [triangle] [cone]

### Tangent Properties. Line m is a tangent to circle O. Point T is the point of tangency.

CONDENSED LESSON 6.1 Tangent Properties In this lesson you will Review terms associated with circles Discover how a tangent to a circle and the radius to the point of tangency are related Make a conjecture

### Circle Name: Radius: Diameter: Chord: Secant:

12.1: Tangent Lines Congruent Circles: circles that have the same radius length Diagram of Examples Center of Circle: Circle Name: Radius: Diameter: Chord: Secant: Tangent to A Circle: a line in the plane

### Circumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice.

Name: Period GPreAP UNIT 14: PERIMETER AND AREA I can define, identify and illustrate the following terms: Perimeter Area Base Height Diameter Radius Circumference Pi Regular polygon Apothem Composite

### 5.1 Midsegment Theorem and Coordinate Proof

5.1 Midsegment Theorem and Coordinate Proof Obj.: Use properties of midsegments and write coordinate proofs. Key Vocabulary Midsegment of a triangle - A midsegment of a triangle is a segment that connects

### Intermediate 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,

### 12 Surface Area and Volume

12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids

### MCA Formula Review Packet

MCA Formula Review Packet 1 3 4 5 6 7 The MCA-II / BHS Math Plan Page 1 of 15 Copyright 005 by Claude Paradis 8 9 10 1 11 13 14 15 16 17 18 19 0 1 3 4 5 6 7 30 8 9 The MCA-II / BHS Math Plan Page of 15

### The common ratio in (ii) is called the scaled-factor. An example of two similar triangles is shown in Figure 47.1. Figure 47.1

47 Similar Triangles An overhead projector forms an image on the screen which has the same shape as the image on the transparency but with the size altered. Two figures that have the same shape but not

### " Angles ABCand DEFare congruent

Collinear points a) determine a plane d) are vertices of a triangle b) are points of a circle c) are coplanar 2. Different angles that share a common vertex point cannot a) share a common angle side! b)

### Chapters 6 and 7 Notes: Circles, Locus and Concurrence

Chapters 6 and 7 Notes: Circles, Locus and Concurrence IMPORTANT TERMS AND DEFINITIONS A circle is the set of all points in a plane that are at a fixed distance from a given point known as the center of

### 1. Find the length of BC in the following triangles. It will help to first find the length of the segment marked X.

1 Find the length of BC in the following triangles It will help to first find the length of the segment marked X a: b: Given: the diagonals of parallelogram ABCD meet at point O The altitude OE divides

### 12-1 Representations of Three-Dimensional Figures

Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 12-1 Representations of Three-Dimensional Figures Use isometric dot paper to sketch each prism. 1. triangular

### 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

### 7 th Grade Study guide IV Partial Remember to practice the constructions that are not part of this guide.

7 th Grade Study guide IV Partial Remember to practice the constructions that are not part of this guide. 1. Which figure shows one point? a. S R c. D C b. Q d. F G 2. Which name describes the line? G