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Geometry Unit 8 Review Revised Summer 08 Show all work on a separate sheet of work paper. Remember to follow the criteria for credit. Competency 1: Pythagorean Theorem y 7. 45˚ 6 2 Find x in simplest radical form. x x 1. 9 8. 45˚ 12 3 12 2. y x x 6 10 9. 3 x 3. x˚ 3 y 9 10 10. x 60˚ x 3 2 y 4. 10 30˚ 3 4 3 5. A 20-foot ladder is leaning against a building. The base of the ladder is 7 feet from the building. To the nearest foot, how high up the building does the ladder reach? Competency 3: Trigonometric Ratios 11. Use the given right triangle to find: a) sin 11o Competency 2: Special Right Triangles c a b) cos 11o For questions 6 – 10, find the values of the missing sides and angles (x and y) for each given right triangle. Leave answers in simplest radical form. 6. 60˚ 8 b Find x for the right triangles given below. Round your answer to the nearest tenth. 12. 10 x 27˚ 30˚ y Page 1 of 2 11˚ c) tan 11o © Mastery Mathematics x Geometry Unit 8 Review Revised Summer 08 18. 13. Choose the statement that is NOT ALWAYS true. For any parallelogram_. x a) opposite sides are congruent. 7 x b) the diagonals are perpendicular. 32˚ c) the diagonals bisect each other. 14. x˚ d) opposite angles are congruent. 7 19. 24o 3 15. A meteorologist measures the angle of elevation of a weather balloon as 32o. A radio signal from the balloon indicates that it is 1248 meters from the meteorologist. How high is the weather balloon above ground? Round your answer to the nearest meter. 116o y z x The figure is a parallelogram. Competency 4: D.P.- Multiple Choice E a) x = 12o , y = 58o, z = 156o 16. b) x = 58o , y = 12o, z = 156o c) x = 40o , y = 24o, z = 116o d) x = 24o , y = 40o, z = 116o G 20. In the figure shown, m<AED = 119o, Which statement below is false? D F Δ DEF is equilateral. DG FG. Which of the following is true? c) ΔDFG ΔGED by SSS E • B d) ΔDIG ΔFIG by SAS 17. If 3 = x–4 a) x = 7 c) x = -7 Page 2 of 2 7, then_____. x b) x = 9 d) x = 17 D • a) ΔDGE ΔFGE by SSS b) There are no congruent triangles. • • A • C a) m<BEC = 119o b) <BEC and <CED are adjacent angles c) m<AEB = 61o d) <AEB and <DEC are supplementary angles. © Mastery Mathematics