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CP Geometry Unit 2 Midtest Review Name Period Date Topic 1: Vertical Angles and Linear Pairs Use the diagram below to answer the questions that follow. 1. If m 3 = 42o, what is the m 6? m BHD = m CHE = m EHF = 90o. 2. If m BHE = 142o, what is the m 1? 3. If m 1 = 37o, what is the m 6? 4. If m EHG = 132o, what is the m 7? 5. If m 7 = 51o, what is the m 3? 6. If m EHB = 153o, what is the m 2? Topic 2: Complementary/Supplementary Angles 7. C and D are supplementary. The measure of D is eight times the measure of C. Find m C and m D. 8. ABD and DBC are complementary as shown below. Find the measure of the angles. 9. The supplement of an angle is 10 more than 5 times its complement. Find the measure of the angle. 10. The supplement of an angle is six times its complement. Find the measure of the supplement of the angle. Topic 3: Transitive Property 11. AB BC and BC CD . Solve for x and y. 12. ABC CBD and BCD DBC . m ABC = (7x+3)o, m BCD = (48-2x)o , and m D = (20x+4)o. Solve for x. Topic 4: Congruent Complements/Supplements 13. BED and EDC are supplementary. Solve for x. 14. WQY and XQZ are right angles. m WQX = (x2 – 3x)o and m ZQY = (3x + 7)o. Solve for x and m XQY. 15. A is complementary to ADB. ABD is complementary to DBC. m ABD = (15+4x)o, m A = (6x+1)o, and m DBC = (y2-2)o. Solve for x, y, and m ADB. Topic 5: Slope of Parallel/Perpendicular Lines 16. Find the slope between (6, 2) and (3, 11). 17. Find the slope between (-2, 4) and (-9, -10). 18. Given G(-3, 2), H(4, 3), Q(-4, 6), and R(3, 5); determine whether RQ || GH . Topic 6: Equations of Parallel/Perpendicular Lines 19. Write the equation of a line that passes through (9, -5) and is parallel to the line: y = (2/3)x - 10. 20. Write the equation of a line that passes through (-7, 0) and is perpendicular to the line: y = (-1/6)x - 11. 21. Find the equation of a line that passes through (6, -2) and is parallel to y = 3x - 54. 22. Find the equation of a line that passes through (6, -2) and is perpendicular to y = 3x - 54. Chapter 2: Midtest Review Solutions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 42o 38o 37o 48o 39o 63o m C = 20o, m D = 160o m ABD = 65o, m DBC = 25o 70o 108o x = 5, y = 4.75 x=5 x=5 x = 7, m XQY = 62o x = 7, y = 7 or -7, m ADB = 47o -3 2 No y = (2/3)x – 11 y = 6x – 42 y = 3x – 20 y = (-1/3)x