Honors Geometry Review 5.1 – 5.3 1. Two lines in different planes that do not intersect are _____. a.) coplanar b.) parallel c.) perpendicular d.) opposite e.) skew 2. Which of the following must be true if a b? I. 1 comp 2 II. m 1 + m 2 = m 3 III. m 1 = m 2 a.) b.) c.) d.) e.) 3. I only II only III only I and II I and III b 2 3 a Which of the following is not true when a || b? a.) 1 5 b.) 4 8 c.) m 1 + m 5 = 180 d.) m 4 + m 6 = 180 e.) 2 6 1 2 1 3 a 4 5 6 7 4. Which lines are parallel? a.) EB || FD b.) AE || CF c.) EF || BC d.) b and c e.) all of the above 5. Determine which lines must be parallel. a.) a || b b.) c || d c.) c || e d.) a and b e.) a and c E b 8 F 32 30 70 68 30 A B C a c d e b D 6. Given: m || n m 3 = 72 Find m 5. 2 1 3 a.) b.) c.) d.) e.) 7. m 4 18 72 108 112 none of these 5 6 7 n 8 Given: m || n Find the value of x. a.) b.) c.) d.) e.) 8. 7 8 32 44 none of these m (9x - 19) (x + 37) n Given: Diagram Find the value of x so that m || n. a.) b.) c.) d.) e.) 13 15 88 92 none of these (6x + 2) (4x + 28) m n Determine if the following statements are true or false. 9. If two lines are perpendicular to the same line, they are perpendicular to each other. a.) true b.) false c.) not enough information 10. If two lines are parallel, then the corresponding angles formed by the parallel lines are congruent. a.) true b.) false c.) not enough information Use the diagram below to answer the following questions. 11. Name an angle corresponding to 2. 12. Name an angle alternate interior to 2. 13. Name an angle alternate exterior to 2. 14. Name an angle same side interior to 2. 15. 7 and 15 are ___________________. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 QUESTIONS 11 - 1 8 16. 5 8 are ______________________. 17. 10 and 13 are __________________. 18. 11 and 14 are __________________. Determine if the following statements are true or false. If true, justify your reasoning with a theorem or postulate. 19. 20. m If 2 10, then m || n. If 2 7, then m || n. a b 21. n 1 2 3 4 9 10 11 12 5 6 7 8 13 14 15 16 If m 4 + m 7 = 180, then m || n. QUESTIONS 19 - 23 22. If 1 16, then a || b. 23. If 11 15, then m || n. Determine if the following statements are true or false. If true, justify your reasoning with a theorem or postulate. 24. If 1 2, then AB || CD . A B 2 25. 1 If ABC C, then AB || CD . D C Question s 24 -26 26. If AB || CD , then 1 2. 27. Determine which segments are parallel. Justify your reasoning S 28. M 64 118 62 N Q M Given: MQ || NP 3 4 1 2 Prove: 1 5 3 4 5 6 Q 29. N P Assume the given lines are parallel, find the value of x. 30 70 x R 30. Find the restrictions on x. a.) b.) x 110° 46° 87° 31. x 28° Write a paragraph proof. Remember to justify your reasoning in each step. A Given: D is the midpoint of BC AD does not bisect BAC Prove: ΔABC is not isosceles B Recommended Textbook Questions p.264 (3, 5, 9, 25, 30) D C