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Name: ________________________ Class: ___________________ Date: __________ Test review Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. Use the figure to find the angles. ____ ____ ____ ____ ____ 1. Name two acute vertical angles. a. ∠KQL, ∠KQM b. ∠KQL, ∠IQH c. d. ∠GQI, ∠IQM ∠HQL, ∠IQK 2. Name a pair of obtuse adjacent angles. a. ∠KQG, ∠HQM b. ∠GQL, ∠LQJ c. d. ∠GQI, ∠IQM ∠HQG, ∠IQH 3. Name a linear pair. a. ∠KQG, ∠HQM b. ∠GQL, ∠LQJ c. d. ∠GQI, ∠IQM ∠LQG, ∠KQM 4. Name an angle supplementary to ∠MQI . a. ∠IQG b. ∠GQL c. d. ∠MQK ∠IQH 5. Name two obtuse vertical angles. a. ∠KQL, ∠KQM b. ∠KQL, ∠IQH c. d. ∠GQI, ∠IQM ∠HQL, ∠IQK 1 ID: A Name: ________________________ ID: A Short Answer 6. If m∠AOC = 73°, m∠BOC = 2x + 10, and m∠AOB = 4x − 15, find the degree measure of ∠BOC and ∠AOB. The diagram is not to scale. 7. ∠1 and ∠2 are a linear pair. m∠1 = x − 28, and m∠2 = x + 82. Find the measure of each angle. → 8. MO bisects ∠LMN, m∠LMO = 6x − 22, and m∠NMO = 2x + 34. Solve for x and find m∠LMN. The diagram is not to scale. 9. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10). 10. Are O, N, and P collinear? If so, name the line on which they lie. 2 Name: ________________________ ID: A 11. What is the intersection of plane TUYX and plane VUYZ? 12. Find AC. 13. If EF = 2x − 12, FG = 3x − 15, and EG = 23, find the values of x, EF, and FG. The drawing is not to scale. 14. If T is the midpoint of SU , find the values of x and ST. The diagram is not to scale. 15. Let C be between D and E . Use the Segment Addition Postulate to solve for v. DC = 3v− 30 CE = 6v− 15 DE = 27 3 Name: ________________________ ID: A Use the Distance Formula to find the distance between each pair of points. 16. Find the coordinates of the midpoint of a segment having the given endpoints. 17. Q ÊÁË 1, − 3 ˆ˜¯ , R ÊÁË 11, 5 ˆ˜¯ 18. Two angles are supplementary. One angle measures 26o more than the other. Find the measure of the two angles. 19. What are the measures of ∠EBG and ∠EBC ? Classify each angle as acute, right, obtuse, or straight. 20. The measure of an angle is 44° less than the measure of its supplement. Find the measure of the angle and the measure of its supplement. 4 ID: A Test review Geometry Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. B B C A D SHORT ANSWER 6. 7. 8. 9. 10. m∠BOC = 36°; m∠AOB = 37° ∠1 = 35, ∠2 = 145 x = 14, m∠LMN = 124 (7, 6) No, the three points are not collinear. ← → 11. 12. 13. 14. 15. UY 12 x = 10, EF = 8, FG = 15 x = 5, ST = 45 v=8 16. 34 Ê 17. ÁË 6, 1 ˆ˜¯ 18. 77, 103 19. m∠EBG = 45°; ∠EBG is acute. m∠EBC = 100°; ∠EBC is obtuse. 20. The angle measures 68° and the supplement measures 112°. 1