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Accel. Geometry Final Exam REVIEW!! Name: 1. Date: The lengths of the sides of a triangle are 8, 15, and 17. If the longest side of a similar triangle is 51, what is the length of the shortest side? A. 32 B. 24 C. 16 4. In the accompanying diagram, ^ ABC and ^RST are right triangles with right angles at B and S, respectively; AB = RS and AC = RT. D. 4 Which statement can be used to justify that ^ABC = ^RST ? 2. Which triangles must be similar? A. two obtuse triangles B. two scalene triangles C. two right triangles D. two isosceles triangles with congruent vertex angles 3. 5. The corresponding angles are congruent. B. The corresponding sides are congruent. C. The perimeters are in the same ratio as the corresponding sides. SAS = SAS B. C. HL = HL D. SAA = SAA ASA = ASA ! ! ! In the accompanying diagram, ACE, BCD, AB, ! and DE, OA = OE, and C is the midpoint of AE. Which theorem justi es ^ABC = ^EDC ? A. SSS = SSS B. SAS = SAS C. ASA = ASA D. SSA = SSA Which is not a property of all similar triangles? A. A. 6. D. The altitudes are in the same ratio as the corresponding sides. In right triangle ABC, mOC = 90, mOA = 55, and CA = 10. What is the length of AB to the nearest integer? A. page 1 6 B. 14 C. 17 D. 24 7. Which equation could be used to nd the measure of one acute angle in the right triangle shown below? A. sin A = 4 5 B. tan A = 5 4 C. cos B = 5 4 D. tan B = 5 4 10. In the accompanying gure, central angle AOC measures 60 . What is the number of degrees in the measure of inscribed angle ABC? 11. In the accompanying diagram, ^ABC is inscribed in circle O and AB is a diameter. What is the number of degrees in mOC? 8. Right triangle ABC has legs of 8 and 15 and a hypotenuse of 17, as shown in the diagram below. A. 30 B. 45 C. 60 D. 90 The value of the tangent of OB is A. 0.4706 B. C. 0.8824 D. 1.8750 12. 0.5333 A spinner is divided into twelve lettered sections, as shown. (Assume the arrow never lands on a dividing line.) With just one spin, what is the probability of landing on a vowel or an unshaded region? 9. ( ( In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from point P. If mAC = 80 and mAB = 60, what is the measure of OP ? A. 10 B. C. 60 D. 70 A. 1 3 B. 1 2 C. 5 8 D. 3 4 20 page 2 Accel. Geometry Final Exam REVIEW!! 13. Consider the following set of numbers: 17. f1; 2; 3; 4; 5; 6; 7; 8; 9; 10g A. What is the probability of drawing an odd number or a multiple of 3? A. 7 10 B. 1 2 C. 7 100 D. Which of the following sets of data exhibits exponential behavior? 3 25 B. 14. The probability of a student getting an A in mathematics is 0.14. The probability a student not getting an A in chemistry is 0.85. The probability that a randomly selected student will get an A in both mathematics and chemistry is 0.03. What is the probability that a student will get an A in mathematics or chemistry? A. 0.26 B. 0.29 C. 0.71 C. D. 0.74 D. 15. A pair of dice is tossed. Event A means the sum is divisible by 2 and event B means the sum is greater than 6. Find P(AjB). A. 16. 1 4 B. 5 36 C. 1 8 D. 1 2 18. A bag has 6 red and 5 blue marbles. What is the probability of drawing a red then a blue, if the rst marble is not replaced after it has been drawn? A. 5 29 B. 11 30 C. 1 29 D. 3 11 page 3 Which is the equivalent exponential form of logb N = x ? A. bN = x B. Nb = x C. xb = N D. bx = N Accel. Geometry Final Exam REVIEW!! 19. The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to nd the population after t years? A. P = 10; 000(0:2)t B. P = 10; 000(0:8)t C. P = 10; 000(1:2)t D. P = 10; 000(1:8)t page 4 Accel. Geometry Final Exam REVIEW!! Problem-Attic format version 4.4.210 c 2011–2014 EducAide Software _ Licensed for use by Nan Hunter Terms of Use at www.problem-attic.com Accel. Geometry Final Exam REVIEW!! 1. Answer: B 2. Answer: D 3. Answer: B 4. Answer: C 5. Answer: C 6. Answer: C 7. Answer: A 8. Answer: B 9. Answer: A 10. Answer: 30 11. Answer: D 12. Answer: Objective: D S.CP.07 13. Answer: Objective: B S.CP.07 14. Answer: Objective: A S.CP.07 15. Answer: Objective: D S.CP.06 16. Answer: Objective: D S.CP.08 17. Answer: Objective: D F.LE.01C 05/19/2014 18. Answer: D 19. Answer: Objective: C Algebra