ID: A Date: Class: Name: Geometry Final Exam 1. Name three points that are collinear. points S, Q. and R a. points 7. Q. and R d. points T. S, and R b. points T. Q, and S 2. PR is represented by which sketch? C. a. R P Q Q R d. b. P Q R Q 3. Draw a labeled diagram for a line. C. a. d. b. 4. The notation for the length of the segment between P and O is d. PQ a. PO b. PQ C.Name: ID: A 63. Choose the figure below which satisfies the definition of a kite. a. b 64. Which type of quadrilateral has no parallel sides? a. rectangle b. trapezoid C. rhombus d. kite 65. Given m_NOP = mZNPO; NO = 2n +4; NP = 8 -3; OP =9; find NO. O a. NO= 3 c. NO=4 b. NO = 2 d. NO=22 16Name: ID: A Refer to the figure below. Given: AF = FC, ZABE = ZEBC 42. An altitude of A ABC is a. BE b. BF BD d. GF 43. The medians of a triangle are concurrent. Their common point is the a. centroid C. orthocenter incenter d. circumcenter 44. Refer to the figure. 70 1059 P 130 65 M The longest segment is a. MP b. NM C. ML d. IN 45. Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than and less than a. 5,27 b. 10, 17 c. 11, 16 d. 4, 28 46. Which of these lengths could be the sides of a triangle? a. 15 cm, 4 cm, 20 cm c. 11 cm, 5 cm, 16 cm b. 3 cm, 15 cm, 20 cm d. 5 cm, 12 cm, 16 cm 47. A worker in an assembly line takes 5 hours to produce 26 parts. At that rate, how many parts can she produce in 20 hours? a. 520 parts b. 6 parts c. 104 parts d. 208 parts 48. The geometric mean of 5 and 15 is a. 5-3 b. 75 C. 3 d. 10 12Name: ID: A 11. If m210J - 22% and mCHOI -25", then what is the measure of ZHOJ? a, 45 b. 440 C. 520 d. 479 12. mZJHI -(2x + 7) and mZGHI = (&-2) and mZJHG = 65. Find m/JHI and mZGHI. G H a. mZJHI = 190 and mZGHI = 460 mZJHI = 46 and mZGHI = 190 C . mZJHI = 13" and m ZGHI = 520 d. mZJHI = 52 and mZGHI = 130 13. If angle ROS is obtuse and angle TOR is straight, then angle TOS is what kind of angle? R a. obtuse b. right C. straight d. acute 3ID: A Name: 18. Which figure below is not a regular polygon? C. O 19. State a counterexample to disprove the following conjecture: A hot air balloon is a device that floats in the air. Hot air balloons are red. b. Helium balloons also float. A car is also a device d. Hot air is also warm. 20. Rewrite the statement in if-then form. Every triangle has three sides. a. A figure has three sides if and only if it is a triangle. b . A figure is a triangle if and only if it has three sides. c. If a figure is a triangle, then it has three sides. d. If a figure has three sides, then it is a triangle. 21. "If I get a chance, I will succeed." In this conditional statement, the underlined portion is a. the hypothesis b. the converse C. the argument the conclusion Use the figure below. D E 22. For the cube shown, AD and HG are a. parallel lines skew lines b. oblique lines d. perpendicular linesName: ID: A 39. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 40 degrees and its 2 congruent sides measure 25 units? 25 25 a. 70 b . 140 C. d. 40 40. Find the values of x and y. 960 a. x= 840, y=96 C. x =120. y=960 b. x= 840, y= 640 d. x = 120, y= 840 41. OF bisects ZBOA, EA L. OA, and EB L OB. Which statement is NOT true? a. AE = BE c. OA = OB b. ZAOE = ZEAO d. ZAEO = ZBEOName: ID: A 33. Refer to the figure below. AABC E a. ACDE b. AEDA c. AACE d. AEDC Explain how you know the triangles are congruent. Then write an equation and solve for x. 34. 10 in. 8 in (.x-3) in. a, Side-Angle-Side; x - 3 = 8,5 C. Side-Angle-Side; x - 3 = 8, 11 b. Side-Side-Side; x - 3 =8, 11 d. Side-Side-Side; x -3 = 8,5 35. Refer to the figure below. Which of the following statements is true? K A HLK is isosceles with base HK, ZIHL and ZJKL are right angles, IK = JH a. AHIL = AKJL by HL c. AHKI = AHJK by SAS b. AHLK = AJLK by SSS d. There are no congruent triangles.Name: ID: A 55. In a 309-60-90 triangle, the ratio of the length of the hypotenuse to the length of the shorter side is a. 2:13 b. 12:1 c. 2:1 d. 3:1 56. The tangent of 2B is v95 95 b. 195 a. C. 7095 d. 12 57. A photographer shines a camera light at a particular painting forming an angle of 40 with the camera platform. If the light is 58 feet from the wall where the painting hangs, how high above the platform is the painting? X 58 f a. 1.19 ft b. 48.67 ft c. 69.12 ft d. 0.84 ft 58. Write cos B. B 25 7 24 C a b. 25 C. 24 d. 14Name: ID: A 30. Find the value of x: 1275 a. 1270 b. 350 C. 880 d. 1450 31. Find the value of x. 1170 660 a. 117 b. 297 C. 66 d. 51 32. Find the value of x. 76 a. 140 b. 1660 C. 104 d. 280 8ID: A Name: 14. Name an angle adjacent to ZA08. ZBOE C. ZBOD ZCOD d. ZDOE 15. The figure shown below a. is a pentagon C. is a heptagon b. is a hexagon d. is a quadrilateral 16. Which figure below is not a convex polygon? b. 17. Name a polygon with 6 sides. a. pentagon b. octagon C. quadrilateral d. hexagonName: ID: A 26. Use the figure to find the measure of 26. 124" C. 79 d 146 27. Classify APOR none of these b. Isosceles c. Scalene d. Equilateral 28. Name a right triangle. 359 30- C D a. ABDC b. none of these c. AADB d. AABC 29. A triangle has angle measures of 60%, 60", and 60". Choose the term that describes the triangle. a. Equiangular b. Right C. Obtuse d. Scalene 7Name: ID: A 36. What must be true in order for AABC = AEDC by the SAS Congruence Postulate? a. ZB = LD b. ZA= LE C. AC = CE d. AB = DE 37. AABD = ACBD. Name the theorem or postulate that justifies the congruence. A C a. ASA b. AAS C. SAS d. HL 38. Which postulate or theorem can be used to determine the length of RT? S 170 240 R 170 a. ASA Congruence Postulate c. SSS Congruence Postulate b. AAS Congruence Theorem d. SAS Congruence PostulateName: ID: A 23. In the figure, 26 and 23 are a. alternate exterior angles C. corresponding angles b. consecutive interior angles d. alternate interior angles 24. In the figure, 26 and Z2 are alternate interior angles c. alternate exterior angles consecutive interior angles d. corresponding angles 25. Find m21 in the figure below. PO and RS are parallel. a. 1050 C. 1150 b. 750 d. 150 6ID: A Name: 59. The cosine of ZA is the ratio tryp ag adj opp C. hyp b. d hyp. hyp adi adi 60. Solve for x to the nearest degree. 14 30 b 63 C. 60 d. 27 61. Find the value of the variables in the parallelogram. x= 52', y = 105", z = 1590 b, x = 21" y= 55", = =104 6. x= SS', y - 21,2=1049 d x= 10.5', )= 52', 2= 159 62. Which statement is true? a. All quadrilaterals are squares. All rectangles are squares. C. All parallelograms are quadrilaterals. d. All quadrilaterals are parallelograms. 15Name: ID: A 5. If RS - 44 and (S - 68, find OR. R a. 14 b. 44 c. 112 d. 24 6. Let C be between D and E. Use the Segment Addition Postulate to solve for v. DC - 31-30 CE =61-15 DE = 27 a v=3 b. = II C. V= -5 d. v=8 7. If AB = 15 and AC - 23, find the length of BC. 15 C b. 15 8 d. 38 8. Find the distance between the points (1, 4) and (-2, -1). a. 10 :34 b. 10 d. 34 9. Find the midpoint of the segment with endpoints (9, 8) and (3, 5). a. (3, =) C. (6, ) b. (12, 13) d. (1, -2) 10. Which angle measures approximately 72? C. b. d