Geometry Benchmark Assessment #1 Multiple Choice Circle the letter of the choice that best completes the statement or answers the question. 1. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and back of the rectangular prism? L P M N Q M Q O a. The letter on the front will be N. The letter on the back will be L. b. The letter on the front will be O. The letter on the back will be N. c. The letter on the front will be N. The letter on the back will be O. d. The letter on the front will be L. The letter on the back will be O. 2. Which diagram shows plane PQR and plane QRS intersecting only in? a. c. b. d.
3. Plane ABC and plane BCE: a. Must be the same plane b. May be the same plane c. Cannot be the same plane. 4. In the figure shown,. Which of the following statements is false? Not drawn to scale a. b. BEC and CED are adjacent angles. c. d. AED and BEC are adjacent angles. 5. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside? y 8 6 Seaside 4 2 8 6 4 2 2 4 6 8 x 2 Landview Oceanfront 4 6 8 a. about 10 miles b. about 50 miles c. about 8 miles d. about 40 miles
6. Which statement is an example of the Addition Property of Equality? a. If p = q then. b. If p = q then. c. If p = q then. d. p = q 7. Which angles are corresponding angles? a. b. c. d. none of these 8. How are and related? a. corresponding angles b. alternate interior angles c. same-side interior angles d. none of these 9. Which two of the lines represented below are parallel? I. II. III. a. I and II b. I and III c. II and III d. No, two of the lines are parallel.
10. Two points are collinear: a. Always b. Sometimes c. Never 11. What is a counterexample for the conjecture: The product of two positive numbers is greater than the sum of the two numbers. a. 3 and 5 b. 2 and 2 c. A counterexample exists, but it is not shown above. d. There is no counterexample. The conjecture is true. 12. Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points R( 6, 0) and S( 9, 8)? Explain. a. Yes; their slopes have product 1. b. No, their slopes are not opposite reciprocals. c. No; their slopes are not equal. d. Yes; their slopes are equal. 13. 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 many words per minute Alfred will be able to type after 4 weeks of practice. a. 39 words per minute b. 29 words per minute c. 35 words per minute d. 32 words per minute
14. Draw a Venn diagram to illustrate this conditional: Cars are motor vehicles. a. c. Motor vehicles Cars Cars Motor vehicles b. d. Motor Motor vehicles Cars Cars vehicles 15. bisects = 7x. =. Find a. 50 b. 125 c. 75 d. 175 Use the given property to complete the statement. 16. Transitive Property of Congruence If. a. b. c. d.
17. What is the value of x? (7x 8) (6x + 11) Drawing not to scale a. 19 b. 125 c. 19 d. 55 18. Find the values of x and y. 4y 7x + 7 112 Drawing not to scale a. x = 15, y = 17 b. x = 112, y = 68 c. x = 68, y = 112 d. x = 17, y = 15
19. How are the two angles related? 52 128 Drawing not to scale a. Vertical b. Supplementary c. Complementary d. Adjacent Short Answer 20. Are and congruent? Explain. A B C D E 8 6 4 2 0 2 4 6 8 21. What are three names for the angle? L M 1 N
Open Ended 22. Plot the points A(9, 11) and B( 3, 5). Find midpoint M of. Then show that AM = MB and AM + MB = AB.
23. Based on the given information, what can you conclude, and why? Given: v2 v4 v3 v1 v5
bm1 geometry Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 DIF: L2 REF: 1-1 Nets and Drawings for Visualizing Geometry OBJ: 1-1.1 Make nets and drawings of three-dimensional figures NAT: G.1.d G.1.e G.3.b TOP: 1-1 Problem 1 Identifying a Solid From a Net KEY: nets of space figures net DOK: DOK 2 2. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b G.4.b TOP: 1-2 Problem 3 Finding the Intersection of Two Planes KEY: plane intersection of two planes DOK: DOK 1 3. ANS: B PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b G.4.b TOP: 1-2 Problem 4 Using Postulate 1-4 KEY: reasoning plane DOK: DOK 2 4. ANS: D PTS: 1 DIF: L4 REF: 1-5 Exploring Angle Pairs OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures NAT: M.1.d G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: adjacent angles supplementary angles vertical angles DOK: DOK 2 5. ANS: D PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.2 Find the distance between two points in the coordinate plane NAT: G.3.b G.4.a TOP: 1-7 Problem 4 Finding Distance KEY: coordinate plane Distance Formula word problem problem solving DOK: DOK 2 6. ANS: B PTS: 1 DIF: L2 REF: 2-5 Reasoning in Algebra and Geometry OBJ: 2-5.1 Connect reasoning in algebra and geometry NAT: G.5.b TOP: 2-5 Problem 2 Using Properties of Equality and Congruence KEY: Properties of Equality DOK: DOK 1 7. ANS: A PTS: 1 DIF: L2 REF: 3-1 Lines and Angles OBJ: 3-1.2 Identify angles formed by two lines and a transversal NAT: M.1.d G.3.g TOP: 3-1 Problem 2 Identifying an Angle Pair KEY: corresponding angles transversal parallel lines DOK: DOK 1 8. ANS: A PTS: 1 DIF: L2 REF: 3-1 Lines and Angles OBJ: 3-1.2 Identify angles formed by two lines and a transversal NAT: M.1.d G.3.g TOP: 3-1 Problem 3 Classifying an Angle Pair KEY: parallel lines transversal angle DOK: DOK 1 9. ANS: A PTS: 1 DIF: L3 REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: 3-8.1 Relate slope to parallel and perpendicular lines NAT: G.3.g G.4.a G.4.d TOP: 3-8 Problem 1 Checking for Parallel Lines KEY: slopes of parallel lines parallel lines DOK: DOK 2 10. ANS: A PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: point collinear points reasoning
DOK: DOK 1 11. ANS: B PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures TOP: 2-1 Problem 5 Finding a Counterexample DOK: DOK 2 12. ANS: B PTS: 1 DIF: L2 REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: 3-8.1 Relate slope to parallel and perpendicular lines NAT: G.5.a KEY: counterexample conjecture NAT: G.3.g G.4.a G.4.d TOP: 3-8 Problem 3 Checking for Perpendicular Lines KEY: slopes of perpendicular lines perpendicular lines DOK: DOK 2 13. ANS: C PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures NAT: G.5.a TOP: 2-1 Problem 4 Making a Prediction KEY: conjecture inductive reasoning word problem problem solving DOK: DOK 2 14. ANS: A PTS: 1 DIF: L3 REF: 2-2 Conditional Statements OBJ: 2-2.1 Recognize conditional statements and their parts NAT: G.5.a TOP: 2-2 Problem 2 Writing a Conditional KEY: conditional statement Venn Diagram DOK: DOK 2 15. ANS: D PTS: 1 DIF: L4 REF: 2-5 Reasoning in Algebra and Geometry OBJ: 2-5.1 Connect reasoning in algebra and geometry NAT: G.5.b TOP: 2-5 Problem 1 Justifying Steps When Solving an Equation KEY: Properties of Congruence Properties of Equality deductive reasoning DOK: DOK 3 16. ANS: C PTS: 1 DIF: L3 REF: 2-5 Reasoning in Algebra and Geometry OBJ: 2-5.1 Connect reasoning in algebra and geometry NAT: G.5.b TOP: 2-5 Problem 2 Using Properties of Equality and Congruence KEY: Properties of Congruence DOK: DOK 1 17. ANS: C PTS: 1 DIF: L3 REF: 2-6 Proving Angles Congruent OBJ: 2-6.1 Prove and apply theorems about angles NAT: G.5.b TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: vertical angles Vertical Angles Theorem DOK: DOK 2 18. ANS: A PTS: 1 DIF: L4 REF: 2-6 Proving Angles Congruent OBJ: 2-6.1 Prove and apply theorems about angles NAT: G.5.b TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: Vertical Angles Theorem vertical angles supplementary angles multi-part question DOK: DOK 2 19. ANS: B PTS: 1 DIF: L2 REF: 1-5 Exploring Angle Pairs OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures NAT: M.1.d G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles DOK: DOK 1