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Name ___________________________________ Date ________________________ Geometry A Unit 2 and 3 Test Review Part I: Use the diagram to answer questions #1-5. (3 points each) For #’s 1 and 2, possible answers are parallel, perpendicular and skew. K N I H P J 1. JI and IH are ________________ lines. M 2. LM and IJ are ________________ lines. L 3. Name a line that is perpendicular to KN ___________. 4. Name a plane that is parallel to plane PNK. ___________ 5. Name three lines that are parallel to NM. ______, ______ & _______. Part II. In #’s 6-11, complete the statement with linear pair, vertical angles, corresponding angles, alternate interior angles, alternate exterior angles or consecutive interior angles. 6. 8 and 6 are _____________________ angles. 6 4 7. 10 and 8 are ______________________ angles. 3 8 8. 8 and 3 are ______________________angles. 9. 3 and 5 are ______________________ angles. 5 10. 5 and 8 are ______________________ angles. 9 10 11. 9 and 4 are _____________________ angles. Part III. In the diagram, LM TV. Find the angles below. L 12. 1 = _______ 13. 2 = ______ 4 V 5 6 3 14. 3 = _______ 15. 4 = _______ 16. 5 = _______ 17. 6 = _______ 7 T 2 1 40 M Part IV: Write an equation and solve for each variable. 126 66 6c 3a 24 3d 18. a = _________ 19. c = __________ 20. d = ___________ Part V. Name the property associated with each description. Choose from: REFLEXIVE SYMMETRIC TRANSITIVE SUBSTITUTION ADDITION SUBTRACTION 21. If TU = RO, then RO = TU _____________________________ 22. AF = AF ________________________ 23. If LM + TY = OP and LM = 20, then 20 + TY = OP ___________________________ 24. If QW = ER and ER = TY, then QW = TY ________________________ 25. If ER + OP = MN + OP, then ER = MN __________________ Part VI. 26. Find the slope of the line through (-2, 4) and (1, 6). ______________ 27. Find the slope of the line y = 3x + 8 __________ 28. Find the slope of the line parallel to a line through (0, 4) and (8, 5). __________ 29. Find the slope of the line perpendicular to one with a slope of 5 . __________ 3 30. Write the equation of the line through (-2, 4) and (0, 6). ___________________ 31. Write the equation of the line passing through (0, 4) and perpendicular to the line y = 3x + 8 ___________________ 32. Write the equation of the line with y intercept 9 and parallel to a line through (3, 4) and (8, 5). __________ 33. Write the equation of the line through (4, 3) and (7, -3). 34. 5x 3 y o 125 o 2 o y 23 3 35. 1 o y 2 4x 3y o y = ____________ y = ______________ 36. AB and CD are parallel lines crossed by a transversal EF with point E lying on AB and point F lying on CD. AEF = 4x2 + xo and DFE = 100 – 8xo are alternate interior angles. Find the value of x. Complete the statement by circling the correct word and by giving a reason. 38. Is AB | | CD? Explain. 39. Is AB | | CD? Explain. E C E 110 C 87 D D 70 A A 103 B B YES or NO F F YES or NO ___________________________________ _________________________________ ___________________________________ _________________________________ ___________________________________ __________________________________