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Name ____________________________ Date ____________ Parallel and Perpendicular Lines Review 8th Grade Geometry Multiple Choice- Choose the correct answer for each question. No partial credit will be given. For questions 1-6, use the diagram at the right. 1. Segments Μ Μ Μ Μ π΄π· and Μ Μ Μ Μ πΉπ· are β¦ a. parallel c. skew b. intersecting d. none of these Μ Μ Μ Μ and Μ Μ Μ Μ 2. Segments π΄π΅ π·πΆ are β¦ a. parallel c. skew b. intersecting d. none of these 3. Segments Μ Μ Μ Μ π΄π΅ and Μ Μ Μ Μ πΉπΆ are β¦ a. parallel c. skew b. intersecting d. none of these Μ Μ Μ Μ Μ 4. Which segment is parallel to AE? Μ Μ Μ Μ Μ Μ Μ Μ a. AD c. BC Μ Μ Μ Μ b.DF d. none of these 5. Which segment is skew to Μ Μ Μ Μ Μ AE? Μ Μ Μ Μ Μ Μ Μ Μ a. AD c. BC Μ Μ Μ Μ b.DF d. none of these Μ Μ Μ Μ is 6. The plane containing Μ Μ Μ Μ πΈπΉ πππ πΆπ΅ a. plane CEF c. plane CDE b. plane ABC d. none of these Geometry β Parallel Lines NJCTL.org For questions 7-11, use the diagram at the right. 7. β 8 πππ β 9 πππ .. a. same-side interior b. alternate interior c. corresponding d. none of these 8. β 14 πππ β 11πππ .. a. same-side interior c. corresponding b. alternate interior d. none of these 9. For π β₯ π, which of the following would have to be true? a. πβ 2 = πβ 4 b. πβ 2 = πβ 9 c.β 7 π π’ππππππππ‘ππ π‘π β 15 d. none of these 10. πΉππ π β₯ π, which of the following must be true? a. πβ 6 = πβ 10 b. πβ 6 = πβ 2 c. πβ 10 = πβ 14 d. none of these 11. Given π β₯ π, πβ 7 = 3π₯ + 20, πππ πβ 12 = 5π₯ β 40, find πβ 8. a. 25 b. 30 c. 70 d. 110 Extended Constructed Response β Solve the problem, showing all work. Partial credit may be given. 12.Use the given diagram to find x, y πβ π΄π΅πΆ and πβ πΆπ΅π·. X = 22 Y = 50 mβ π΄π΅πΆ = 73° mβ πΆπ΅π· = 107° Geometry β Parallel Lines NJCTL.org 13. In the given diagram to the right, n || p & k || m. πβ 10 = (5π₯ + 3)°, πβ 16 = (7π₯ β 39)°, πππ πβ 15 = (7π¦ + 2)° . Find the values of x, y, πβ 10, πππ πβ 15. x = 21 y = 10 mβ 10 = 108° mβ 15 = 72° 14. Complete the proof by filling in the missing reasons with the βreasons bankβ to the right. Some reasons may be used more that once. Given: n || p, k || m Prove: β 1 β β 15 Statements 1. n || p, k || m 2. β 1 β β 5 3. β 5 β β 15 4. β 1 β β 15 Geometry β Parallel Lines Reasons 1. C 2. E 3. B 4. A Reasons Bank a) Transitive Property of Congruence b) If 2 parallel lines are cut by a transversal, then the alternate interior angles are congruent. c) Given d) If 2 parallel lines are cut by a transversal, then the alternate exterior angles are congruent. e) If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent. NJCTL.org