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Name: ________________________ Class: ___________________ Date: __________ ID: A 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. b. c. d. ____ No, the three points are not collinear. Yes, they lie on the line M P. Yes, they lie on the line N P. Yes, they lie on the line M O. 5. Name the plane represented by the front of the box. a. FBC b. BAD c. 1 FEC d. FKG Name: ________________________ ____ ID: A 6. Name the line and plane shown in the diagram. ← → a. ← → RS and plane RSU c. RS and plane U R ← → b. ____ line R and plane RSU SR and plane U T 7. What is the intersection of plane TUYX and plane VUYZ? ← → a. ____ d. UY ← → b. SW ← → c. TX ← → d. VZ 8. Name the intersection of plane BPQ and plane CPQ. ← → a. ← → PQ c. CQ d. The planes need not intersect. c. BA ← → b. ____ BP 9. Name the ray in the figure. → a. BA ← → b. AB → d. AB → ____ 10. Name the ray that is opposite BA . → a. BD → → b. BA c. 2 CA → d. DA Name: ________________________ ID: A ____ 11. Name the four labeled segments that are skew to CD. a. b. FH , EG , AE , BF AE , EF , BF , EG c. d. BF , GH , EG , AE 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 c. plane CDHG d. plane BDHF ____ 13. Which plane is parallel to plane EFHG? a. plane ABDC b. plane ACGE 3 Name: ________________________ ID: A ____ 14. If T is the midpoint of SU , find the values of x and ST. The diagram is not to scale. a. b. x = 5, ST = 45 x = 5, ST = 60 c. d. x = 10, ST = 60 x = 10, ST = 45 ____ 15. Judging by appearance, name an acute angle, an obtuse angle, and a right angle. a. b. c. d. ∠W, ∠X, ∠V ∠V, ∠Y, ∠W ∠U, ∠W, ∠Y ∠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. b. m∠FEG = 122, m∠HEG = 58 m∠FEG = 58, m∠HEG = 132 c. d. 4 m∠FEG = 68, m∠HEG = 122 m∠FEG = 58, m∠HEG = 122 Name: ________________________ ID: A ____ 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. d. 1. PQ ≅ RQ 2. ∠RUT is a right angle 3. ∠RTU and ∠STU are vertical angles 1. PQ ≅ PR 2. ∠RUT is a right angle 3. ∠RTU and ∠STU are adjacent angles ____ 19. How are the two angles related? a. b. vertical supplementary c. d. 5 complementary adjacent Name: ________________________ ID: A → ____ 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. b. x = 9, m∠LMN = 98 x = 9, m∠LMN = 49 c. d. x = 10, m∠LMN = 114 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 c. 1521π in. d. 78π in. c. 60π in.2 d. 225π in.2 ____ 23. Find the circumference of the circle in terms of π. a. 156π in. b. 39π in. ____ 24. Find the area of the circle in terms of π. a. 30π in.2 b. 900π in.2 6 Name: ________________________ ID: A ____ 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. 7 80 ft 2 d. 68 ft 2 ID: A Geometry CP- Chapter 1 Practice Test Answer Section MULTIPLE CHOICE 1. ANS: REF: STA: KEY: 2. ANS: REF: STA: KEY: 3. ANS: REF: STA: KEY: 4. ANS: OBJ: TOP: 5. ANS: OBJ: TOP: 6. ANS: OBJ: KEY: 7. ANS: OBJ: TOP: 8. ANS: OBJ: TOP: 9. ANS: REF: OBJ: TOP: 10. ANS: REF: OBJ: TOP: 11. ANS: REF: STA: KEY: D PTS: 1 DIF: L2 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning CA GEOM 1.0| CA GEOM 3.0 TOP: 1-1 Example 1 pattern | inductive reasoning C PTS: 1 DIF: L2 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning CA GEOM 1.0| CA GEOM 3.0 TOP: 1-1 Example 3 conjecture | counterexample C PTS: 1 DIF: L2 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning CA GEOM 1.0| CA GEOM 3.0 TOP: 1-1 Example 4 conjecture | inductive reasoning | word problem | problem solving A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes 1-3.1 Basic Terms of Geometry STA: CA GEOM 1.0 1-4 Example 1 KEY: point | line | collinear points A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes 1-3.1 Basic Terms of Geometry STA: CA GEOM 1.0 1-4 Example 2 KEY: plane A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes 1-3.1 Basic Terms of Geometry STA: CA GEOM 1.0 line | plane A PTS: 1 DIF: L2 REF: 1-3 Points, Lines, and Planes 1-3.2 Basic Postulates of Geometry STA: CA GEOM 1.0 1-4 Example 3 KEY: plane | intersection of two planes A PTS: 1 DIF: L3 REF: 1-3 Points, Lines, and Planes 1-3.2 Basic Postulates of Geometry STA: CA GEOM 1.0 1-4 Example 3 KEY: plane | intersection of two planes A PTS: 1 DIF: L2 1-4 Segments, Rays, Parallel Lines and Planes 1-4.1 Identifying Segments and Rays STA: CA GEOM 1.0 1-4 Example 1 KEY: ray A PTS: 1 DIF: L2 1-4 Segments, Rays, Parallel Lines and Planes 1-4.1 Identifying Segments and Rays STA: CA GEOM 1.0 1-4 Example 1 KEY: ray | opposite rays A PTS: 1 DIF: L2 1-4 Segments, Rays, Parallel Lines and Planes OBJ: 1-4.2 Recognizing Parallel Figures CA GEOM 1.0 TOP: 1-4 Example 2 segment | skew lines 1 ID: A 12. ANS: REF: STA: KEY: 13. ANS: REF: STA: KEY: 14. ANS: OBJ: KEY: 15. ANS: OBJ: KEY: 16. ANS: OBJ: KEY: 17. ANS: OBJ: KEY: 18. ANS: OBJ: KEY: 19. ANS: OBJ: KEY: 20. ANS: OBJ: TOP: 21. ANS: OBJ: KEY: 22. ANS: REF: OBJ: TOP: 23. ANS: REF: OBJ: TOP: 24. ANS: REF: STA: KEY: 25. ANS: REF: STA: KEY: A PTS: 1 DIF: L2 1-4 Segments, Rays, Parallel Lines and Planes OBJ: 1-4.2 Recognizing Parallel Figures CA GEOM 1.0 TOP: 1-4 Example 2 segment | parallel lines A PTS: 1 DIF: L2 1-4 Segments, Rays, Parallel Lines and Planes OBJ: 1-4.2 Recognizing Parallel Figures CA GEOM 1.0 TOP: 1-4 Example 3 parallel planes A PTS: 1 DIF: L2 REF: 1-5 Measuring Segments 1-5.1 Finding Segment Lengths TOP: 1-5 Example 3 segment | segment length | midpoint | multi-part question C PTS: 1 DIF: L2 REF: 1-6 Measuring Angles 1-6.1 Finding Angle Measures TOP: 1-6 Example 2 acute angle | right angle | obtuse angle C PTS: 1 DIF: L2 REF: 1-6 Measuring Angles 1-6.1 Finding Angle Measures TOP: 1-6 Example 3 Angle Addition Postulate D PTS: 1 DIF: L2 REF: 1-6 Measuring Angles 1-6.1 Finding Angle Measures TOP: 1-6 Example 3 Angle Addition Postulate A PTS: 1 DIF: L2 REF: 1-6 Measuring Angles 1-6.2 Identifying Angle Pairs TOP: 1-6 Example 5 vertical angles | supplementary angles | adjacent angles | right angle | congruent segments B PTS: 1 DIF: L2 REF: 1-6 Measuring Angles 1-6.2 Identifying Angle Pairs TOP: 1-6 Example 4 supplementary angles C PTS: 1 DIF: L2 REF: 1-7 Basic Constructions 1-7.2 Constructing Bisectors STA: CA GEOM 16.0 1-7 Example 4 KEY: angle bisector A PTS: 1 DIF: L2 REF: 1-8 The Coordinate Plane 1-8.2 Finding the Midpoint of a Segment TOP: 1-8 Example 3 coordinate plane | Midpoint Formula B PTS: 1 DIF: L2 1-9 Perimeter, Circumference, and Area 1-9.1 Finding Perimeter and Circumference STA: CA GEOM 8.0| CA GEOM 10.0 1-9 Example 1 KEY: perimeter | rectangle D PTS: 1 DIF: L2 1-9 Perimeter, Circumference, and Area 1-9.1 Finding Perimeter and Circumference STA: CA GEOM 8.0| CA GEOM 10.0 1-9 Example 2 KEY: circle | circumference D PTS: 1 DIF: L2 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area CA GEOM 8.0| CA GEOM 10.0 TOP: 1-9 Example 5 area | circle D PTS: 1 DIF: L2 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area CA GEOM 8.0| CA GEOM 10.0 TOP: 1-9 Example 6 area | rectangle 2