Zita Name ___________________________________ Period _____________ REVIEW SHEET Fall Final Exam Chapters 1 and 3 Chapter 1 - Multiple Choice 1. If mRMK = 5x + 8, mKMT = 3x 5, and mTML = 6x + 17, then x = _____? A. 10 B. 4 C. 5 1. ______ D. 12 M L 2. T R K If mQMJ = 2x + 15 and mJML = 4x 3, then x = _____? A. 17 B. 15 C. 16 2. ______ D. 13 Q J M 3. A. always 4. B. sometimes C. never B. sometimes 4. ______ C. never Y is between X and Z. If XY = 28 and YZ = 8, then XZ = ______? A. 20 6. 3. ______ Linear Pairs are __________ supplementary. A. always 5. L Vertical angles are __________ congruent. B. 18 C. 14 5. ______ D. 36 K is between L and N. If LK = 36 and KN = 10, then LN = ______? A. 46 B. 23 C. 26 6. ______ D. 18 Midpoint Formula *MEMORIZE* x1 x 2 y1 y 2 , 2 2 7. Segment AB has endpoints at (2,6) and (10,0). Its midpoint, M, is ______? A. (12,6) 8. B. (8,10) C. (6,3) 7. ______ D. (3,6) Segment XY has endpoints at (-8,2) and (4,-6). Its midpoint, M, is ______? A. (-2,-2) Geometry B. (2,2) C. (-4,-4) 1 8. ______ D. (-12,8) Review Sheet - Fall Final Exam Chapters 1 and 3 9. XM bisects AXB. If mAXM = 2x + 7 and mMXB = 4x - 5, find mAXB. A. 38° B. 24° D. 6° M A X 10. C. 19° 9. ______ B XM bisects AXB. If mAXB = 14x - 24 and mMXB = 3x - 4, find mAXB. A. 2° B. 8° C. 4° 10. ______ D. 16° M A X B Distance Formula *MEMORIZE* d x2 x 1 y 2 y1 2 2 11. Use the distance formula to find the distance between (1,2) and (6,14). A. 13 B. 12 C. 9 11. ______ D. 10 12. Use the distance formula to find the distance between (0,1) and (3,5). A. 6 B. 5 C. 25 12. ______ D. 4 Choose a word from the word bank below that best completes the sentence. Place the corresponding letter in the blank at the right of each sentence. A. Angle Bisector D. Vertex B. Collinear E. Vertical Angles C. Supplementary F. Non-collinear 13. These types of points lie on the same line. 13. ______ 14. These are non-adjacent angles formed by intersecting lines. 14. ______ 15. These are angles that have a sum of 180°. 15. ______ 16. This divides an angle into two congruent angles. 16. ______ 17. This is the common endpoint of an angle. 17. ______ 18. These types of points do not lie on the same line. 18. ______ Chapter 3 - Multiple Choice 19. Which angle is congruent to 1? A. 2 19. ______ B. 3 a ll b C. 4 a b 1 3 Geometry D. 5 4 2 5 2 Review Sheet - Fall Final Exam Chapters 1 and 3 20. Which angle is supplementary to 1? A. 2 20. ______ B. 3 a C. 4 D. 5 b a ll b 1 5 4 2 3 21. Which angle forms a linear pair with 4? A. 1 B. 2 a a ll b 21. ______ C. 3 b 1 3 2 D. 5 4 5 22. Which angle is congruent to 2? A. 1 B. 3 a a ll b 1 2 22. ______ C. 4 b D. 5 5 3 4 23. What angle is supplementary to 5? A. 1 23. ______ B. 2 c a C. 3 D. 4 d 1 2 a ll b c ll d 3 5 4 b 24. Which equation would you use to find “x”? 24. ______ A. 2x + 4 = 4x - 16 B. 2x + 4 + 4x - 16 = 180 C. 2x + 4 + 4x - 16 = 90 D. not enough information a a ll b b (2x + 4)° (4x - 16)° 25. Find the value of “x”. A. x = 90 25. ______ B. x = 2 C. x = 12 D. x = 3 (9x - 18)° (7x + 6)° Geometry 3 Review Sheet - Fall Final Exam Chapters 1 and 3 26. Find the value of “x”. A. x = 55 (21x + 5)° 26. ______ B. x = 110 C. x = 10 D. x = 5 (10x + 60)° 27. What relationship can be used to prove c ll d? 27. ______ A. vertical angles C. corresponding angles B. alternate interior angles D. alternate exterior angles 107° c d 107° 28. What relationship can be used to prove f ll g? 28. ______ A. vertical angles C. corresponding angles B. alternate interior angles D. alternate exterior angles f 70° 70° g 29. What relationship can be used to prove f ll g? 29. ______ A. vertical angles C. corresponding angles B. alternate interior angles D. alternate exterior angles f 115° g 115° 30. What relationship can be used to prove a ll b? 30. ______ A. corresponding angles B. alternate interior angles C. consecutive angles D. not here a 116° 64° b 31. What is the m1? A. 54° 31. ______ B. 180° C. 126° 126° D. 90° a a ll b 1 54° Geometry 4 b Review Sheet - Fall Final Exam Chapters 1 and 3 32. What is the measure of 1? A. 12 32. ______ B. 150 C. 30 D. 180 (13x - 6)° 1 (10x + 30)° 33. What relationship can be used to prove c ll d? 33. ______ A. alternate exterior angles B. alternate interior angles C. vertical angles D. corresponding angles d 60 c 60 34. What is the measure of 1? A. 180° 34. ______ B. 130° C. 50° (4x + 14)° 1 D. 9° (15x - 5)° Chapter 1 - Short Answer 35. Points M, N, and O are collinear. Which point is between the other two? NO = 16 NM = 11 MO = 5 36. Points P, Q, and R are collinear. Which point is between the other two? PQ = 13 RQ = 4 36. __________ PR = 9 37. If m3 = (2x - 10)° and m4 = (3x + 40)°, then x = ____. 3 35. __________ 37. x = __________ 4 38. Find the mABE and mCBD. A 38. mABE = __________ C B (x + 34)° (5x + 10)° mCBD = __________ D E 39. Find the m1 and m2. 39. m1 = __________ m1 = (4x + 2)° 1 m2 = (2x + 10)° 2 Geometry m2 = __________ 5 Review Sheet - Fall Final Exam Chapters 1 and 3 Chapter 3 - Short Answer Use the figure below for numbers 55-62. Find the measures of the indicated angles. c d 1 2 3 4 a c ll d a ll b 9 10 11 12 m11 = 110° 40. m1 = __________ 41. m3 = __________ 42. m4 = __________ 43. m6 = __________ 44. m8 = __________ b 5 6 7 8 13 14 15 16 45. m10 = __________ 46. m13 = __________ 47. m16 = __________ 48. Find the values of “x” and “y”. 48. x = __________ y = __________ (5y + 5)° (3x - 20)° (2x + 20)° (8y - 10)° Geometry 6 Review Sheet - Fall Final Exam Chapters 1 and 3
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