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Name:___________________________________ Date:__________________ Unit 2 Review 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? ,... ____ ____ 2. A. C. B. D. bisects A. 108 = 7x. B. 72 = . Find C. 180 3. Which statement is an example of the Addition Property of Equality? A. If p = q then C. If p = q then . B. If p = q then D. p = q . Use the given property to complete the statement. ____ ____ ____ 4. Transitive Property of Congruence If ______. A. B. C. D. 5. Substitution Property of Equality If , then ______. A. B. C. D. 6. Name the Property of Congruence that justifies the statement: If . A. Symmetric Property C. Reflexive Property B. Transitive Property D. none of these D. 252 . ____ 7. Complete the two-column proof. Given: Prove: A. a. Given b. Subtraction Property of Equality c. Division Property of Equality B. a. Given b. Subtraction Property of Equality c. Multiplication Property of Equality ____ C. a. Given b. Addition Property of Equality c. Multiplication Property of Equality D. a. Given b. Addition Property of Equality c. Division Property of Equality 8. What is the value of x? (8x – 8)° (7x + 8)° Drawing not to scale A. –16 ____ B. 120 C. 60 9. Find the values of x and y. A. x = 15, y = 17 B. x = 112, y = 68 C. x = 68, y = 112 D. x = 17, y = 15 D. 16 ____ 10. Which angles are corresponding angles? A. B. C. D. none of these ____ 11. Which statement is true? A. B. C. D. are alternate angles. are alternate angles. are same-side interior angles. are same-side interior angles. This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways. ____ 12. How are and related? A. alternate interior angles B. corresponding angles C. same-side interior angles D. none of these ____ 13. If 8 measures 127, what is the sum of the measures of 1 and 4? A. 254 B. 307 C. 127 ____ 14. Which is a correct two-column proof? Given: and are supplementary. Prove: m Z X W E F G H A. B. C. D. none of these Y l n D. 106 ____ 15. The expressions in the figure below represent the measures of two angles. Find the value of x. The diagram is not to scale. f 7x 2 x + 36 g A. 15 C. –16 B. 17 D. 16 ____ 16. Find the value of x for which l is parallel to m. The diagram is not to scale. 80° ( 3 x - 43 )º l m A. 100 B. 80 C. 123 ____ 17. What is the slope of the line shown? y 10 8 6 4 (–2, 2) 2 –10 –8 –6 –4 –2 –2 2 4 6 8 10 x –4 –6 –8 –10 A. 6 11 B. 6 11 (4, –9) C. 11 6 D. 11 6 D. 41 . 3 ____ 18. What is the graph of y = x – 2? 4 y A. –6 –4 C. 6 6 4 4 2 2 –2 2 4 6 –4 –2 –2 –4 –4 –6 –6 D. y –4 –6 x –2 B. –6 y 6 4 4 2 2 2 4 6 x 4 6 x 2 4 6 x y 6 –2 2 –6 –4 –2 –2 –2 –4 –4 –6 –6 ____ 19. Write an equation in slope-intercept form of the line through points S(–7,–6) and T(10,8). A. C. 14 4 14 4 x– y= x+ 17 17 17 17 B. D. 14 4 14 4 x+ y= x– 17 17 17 17 ____ 20. What is an equation in slope-intercept form for the line given? y 8 (5, 1) –8 (–4, –2) 8 x –8 A. B. C. D. ____ 21. What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)? A. y – 8 = –2(x – 6) C. y – 8 = 2(x – 6) B. x – 8 = 2(y – 6) D. y + 8 = –2(x – 6) ____ 22. What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)? A. C. y + 4 = 2(x – 8) 1 y + 4 = (x – 8) 2 B. x + 4 = 2(y – 8) D. 1 y + 8 = (x – 4) 2 Short Answer 1. What is the value of x? Identify the missing justifications. 2. Solve for x. Justify each step. 3. Complete the paragraph proof. Given: are supplementary, and are supplementary. Prove: By the definition of supplementary angles, _____ (a) and _____ (b). Then by _____ (c). Subtract from each side. You get _____ (d), or _____ (e). Essay 1. Complete the two-column proof. Given: Prove: Drawing not to scale Unit 2 Review Answer Section MULTIPLE CHOICE 1. C 2. D 3. B 4. D 5. B 6. A 7. B 8. D 9. A 10. C 11. C 12. B 13. A 14. C 15. D 16. D 17. C 18. B 19. D 20. A 21. A 22. A SHORT ANSWER 1. a. Angle Addition Postulate b. Substitution Property c. Distributive Property d. Simplify e. Addition Property of Equality f. Division Property of Equality 2. Given Addition Property of Equality Simplify Division Property of Equality x = 27 Simplify 3. a. 180 b. 180 c. Transitive Property (or Substitution Property) d. e. ESSAY 1. a. Given b. Substitution Property c. Vertical Angles Theorem d. Substitution Property