Geometry CP- Chapter 1 Practice Test

Name: Class: Date: Geometry CP- Chapter 1 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27,... a. 33, 972 b. 39, 45 c. 162, 972 d. 33, 39 2. Find a counterexample to show that the conjecture is false. Conjecture: Any number that is divisible by 4 is also divisible by 8. a. 24 b. 40 c. 12 d. 26 3. Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice. a. 39 words per minute c. 35 words per minute b. 29 words per minute d. 32 words per minute 4. Are O, N, and P collinear? If so, name the line on which they lie. a. No, the three points are not collinear. b. Yes, they lie on the line M P. c. Yes, they lie on the line NP. d. Yes, they lie on the line M O. 5. Name the plane represented by the front of the box. a. FBC b. BAD c. FEC d. FKG 1

Name: 6. Name the line and plane shown in the diagram. a. RS and plane RSU c. RS and plane UR b. line R and plane RSU d. SR and plane UT 7. What is the intersection of plane TUYX and plane VUYZ? a. UY b. SW c. TX d. VZ 8. Name the intersection of plane BPQ and plane CPQ. a. PQ c. CQ b. BP d. The planes need not intersect. 9. Name the ray in the figure. a. BA b. AB c. BA d. AB 10. Name the ray that is opposite BA. a. BD b. BA c. CA d. DA 2

Name: 11. Name the four labeled segments that are skew to CD. a. FH, EG, AE, BF c. BF, GH, EG, AE b. AE, EF, BF, EG d. FH, AE, CG, BF 12. Name the three labeled segments that are parallel to EF. a. AB, CD, GH b. GH, EG, CD c. BF, AB, CD, d. AC, CD, GH 13. Which plane is parallel to plane EFHG? a. plane ABDC b. plane ACGE c. plane CDHG d. plane BDHF 3

Name: 14. If T is the midpoint of SU, find the values of x and ST. The diagram is not to scale. a. x = 5, ST = 45 c. x = 10, ST = 60 b. x = 5, ST = 60 d. x = 10, ST = 45 15. Judging by appearance, name an acute angle, an obtuse angle, and a right angle. a. W, X, V c. U, W, Y b. V, Y, W d. U, V, Y 16. If m BOC = 27 and m AOC = 47, then what is the measure of AOB? The diagram is not to scale. a. 74 b. 40 c. 20 d. 54 17. If m DEF = 122, then what are m FEG and m HEG? The diagram is not to scale. a. m FEG = 122, m HEG = 58 c. m FEG = 68, m HEG = 122 b. m FEG = 58, m HEG = 132 d. m FEG = 58, m HEG = 122 4

Name: 18. What can you conclude from the information in the diagram? a. 1. PQ RQ 2. TR TS 3. TRS and PRQ are vertical angles b. 1. PQ PR 2. TR TS 3. TRS and PRQ are adjacent angles c. 1. PQ RQ 2. RUT is a right angle 3. RTU and STU are vertical angles d. 1. PQ PR 2. RUT is a right angle 3. RTU and STU are adjacent angles 19. How are the two angles related? a. vertical c. complementary b. supplementary d. adjacent 5

Name: 20. MO bisects LMN, m LMO = 8x 23, and m NMO = 2x + 37. Solve for x and find m LMN. The diagram is not to scale. a. x = 9, m LMN = 98 c. x = 10, m LMN = 114 b. x = 9, m LMN = 49 d. x = 10, m LMN = 57 21. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10). a. (7, 6) b. (1, 4) c. (14, 12) d. (2, 8) 22. Find the perimeter of the rectangle. The drawing is not to scale. a. 151 feet b. 208 feet c. 161 feet d. 104 feet 23. Find the circumference of the circle in terms of π. a. 156π in. b. 39π in. c. 1521π in. d. 78π in. 24. Find the area of the circle in terms of π. a. 30π in. 2 b. 900π in. 2 c. 60π in. 2 d. 225π in. 2 6

Name: 25. The figure is formed from rectangles. Find the total area. The diagram is not to scale. a. 104 ft 2 b. 36 ft 2 c. 80 ft 2 d. 68 ft 2 7

Geometry CP- Chapter 1 Practice Test Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: L2 REF: 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning STA: CA GEOM 1.0 CA GEOM 3.0 TOP: 1-1 Example 1 KEY: pattern inductive reasoning 2. ANS: C PTS: 1 DIF: L2 REF: 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning STA: CA GEOM 1.0 CA GEOM 3.0 TOP: 1-1 Example 3 KEY: conjecture counterexample 3. ANS: C PTS: 1 DIF: L2 REF: 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning STA: CA GEOM 1.0 CA GEOM 3.0 TOP: 1-1 Example 4 KEY: conjecture inductive reasoning word problem problem solving 4. ANS: A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes OBJ: 1-3.1 Basic Terms of Geometry STA: CA GEOM 1.0 TOP: 1-4 Example 1 KEY: point line collinear points 5. ANS: A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes OBJ: 1-3.1 Basic Terms of Geometry STA: CA GEOM 1.0 TOP: 1-4 Example 2 KEY: plane 6. ANS: A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes OBJ: 1-3.1 Basic Terms of Geometry STA: CA GEOM 1.0 KEY: line plane 7. ANS: A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes OBJ: 1-3.2 Basic Postulates of Geometry STA: CA GEOM 1.0 TOP: 1-4 Example 3 KEY: plane intersection of two planes 8. ANS: A PTS: 1 DIF: L3 REF: 1-3 Points, Lines, and Planes OBJ: 1-3.2 Basic Postulates of Geometry STA: CA GEOM 1.0 TOP: 1-4 Example 3 KEY: plane intersection of two planes 9. ANS: A PTS: 1 DIF: L2 OBJ: 1-4.1 Identifying Segments and Rays STA: CA GEOM 1.0 TOP: 1-4 Example 1 KEY: ray 10. ANS: A PTS: 1 DIF: L2 OBJ: 1-4.1 Identifying Segments and Rays STA: CA GEOM 1.0 TOP: 1-4 Example 1 KEY: ray opposite rays 11. ANS: A PTS: 1 DIF: L2 OBJ: 1-4.2 Recognizing Parallel Figures STA: CA GEOM 1.0 TOP: 1-4 Example 2 KEY: segment skew lines 1

12. ANS: A PTS: 1 DIF: L2 OBJ: 1-4.2 Recognizing Parallel Figures STA: CA GEOM 1.0 TOP: 1-4 Example 2 KEY: segment parallel lines 13. ANS: A PTS: 1 DIF: L2 OBJ: 1-4.2 Recognizing Parallel Figures STA: CA GEOM 1.0 TOP: 1-4 Example 3 KEY: parallel planes 14. ANS: A PTS: 1 DIF: L2 REF: 1-5 Measuring Segments OBJ: 1-5.1 Finding Segment Lengths TOP: 1-5 Example 3 KEY: segment segment length midpoint multi-part question 15. ANS: C PTS: 1 DIF: L2 REF: 1-6 Measuring Angles OBJ: 1-6.1 Finding Angle Measures TOP: 1-6 Example 2 KEY: acute angle right angle obtuse angle 16. ANS: C PTS: 1 DIF: L2 REF: 1-6 Measuring Angles OBJ: 1-6.1 Finding Angle Measures TOP: 1-6 Example 3 KEY: Angle Addition Postulate 17. ANS: D PTS: 1 DIF: L2 REF: 1-6 Measuring Angles OBJ: 1-6.1 Finding Angle Measures TOP: 1-6 Example 3 KEY: Angle Addition Postulate 18. ANS: A PTS: 1 DIF: L2 REF: 1-6 Measuring Angles OBJ: 1-6.2 Identifying Angle Pairs TOP: 1-6 Example 5 KEY: vertical angles supplementary angles adjacent angles right angle congruent segments 19. ANS: B PTS: 1 DIF: L2 REF: 1-6 Measuring Angles OBJ: 1-6.2 Identifying Angle Pairs TOP: 1-6 Example 4 KEY: supplementary angles 20. ANS: C PTS: 1 DIF: L2 REF: 1-7 Basic Constructions OBJ: 1-7.2 Constructing Bisectors STA: CA GEOM 16.0 TOP: 1-7 Example 4 KEY: angle bisector 21. ANS: A PTS: 1 DIF: L2 REF: 1-8 The Coordinate Plane OBJ: 1-8.2 Finding the Midpoint of a Segment TOP: 1-8 Example 3 KEY: coordinate plane Midpoint Formula 22. ANS: B PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.1 Finding Perimeter and Circumference STA: CA GEOM 8.0 CA GEOM 10.0 TOP: 1-9 Example 1 KEY: perimeter rectangle 23. ANS: D PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.1 Finding Perimeter and Circumference STA: CA GEOM 8.0 CA GEOM 10.0 TOP: 1-9 Example 2 KEY: circle circumference 24. ANS: D PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area STA: CA GEOM 8.0 CA GEOM 10.0 TOP: 1-9 Example 5 KEY: area circle 25. ANS: D PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area STA: CA GEOM 8.0 CA GEOM 10.0 TOP: 1-9 Example 6 KEY: area rectangle 2