Review Special Right Triangles Name ____________________________________ Period _________ 1. What is the ratio of all 30-60-90 triangles? 1. _______________ 2. What is the ratio of all 45-45-90 triangles? 2. _______________ Find the missing sides for each of the following. Leave answer in simplified and rationalized. 3. 4. 5. a y 30 x c r b 23 6. 16 45 45 12 7. p a c 30 x 8. g h 45 26 30 17 2 9. 14 3 10. 36 45 12. z 13. 14. d 30 u 30 45 j 6 w k 9 3 v 11. 45 g 17 t 15 30 f e 15. Square 38 2 h 15. a = _________ b = _________ a b 15 16. Rectangle 16. m = ________ n = ________ n 7 m 30° 17. At a point 500 miles north of a ship, the shoreline runs east and west. West of that point, the navigator sights a light house at an angle of 60 . How far is the ship from the lighthouse? 17. _________ shoreline 60 18. A point on the edge of a symmetrical canyon is 4500 ft above a river that cuts through The canyon floor. The angle of depression from each side of the canyon to the canyon floor is 60 18. __________ Find the length of the canyon wall (from the edge to the river). Decide which method, SSS, SAS, ASA, AAS, or HL, can be used to Prove the triangles are congruent. 19. 19. ________ 20. 20. ________ 21. “If a pair of angles are supplementary, then they are a linear pair.” What is the converse of this statement? 21. ________ A) If a pair of angles are not supplementary, then they are not a linear pair. B) If a pair of angles are a linear pair, then they are supplementary. C) If a pair of angles are not a linear pair, then they are not supplementary.

© Copyright 2023 Paperzz