Geometry Sem 2 REVIEW for Final Part A ink spring notebook. April 19, m. 7' 25' x. 18 m
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1 Geometry Sem 2 Review for Final Find the missing sides of each triangle. Leave answers as simplified radicals. 1. m 2. Part 4' 60 n m 60 y m =, n = =, y = Find the missing sides of each triangle. Leave answers as simplified radicals " y 45 Find the missing sides of each triangle. Round to the nearest tenth if necessary " 9" =, y = 1
2 Find the missing sides of each triangle. Round to the nearest tenth if necessary m 7. Use trig to find the value of. Round to the nearest tenth. 7' 25' 18 m Use trig to find the value of. Round to the nearest tenth Use trig to find the value of. Round to the nearest tenth. 12 θ
3 10. Use trig to find the value of. Round to the nearest tenth. 11. Find the indicated ratios a) sin = b) tan = 17 8 c) cos = ft ladder makes a 38 angle with the ground. How many feet up a wall will it reach? Show your equation and round to the nearest tenth. 13. Stan observes a plane on the runaway from a tower 180 feet up with an angle of depression of 32. How far from the base of the tower is the plane? Show your equation and round to the nearest tenth ft? 3
4 14. n archaeological team is using a robotic probe on the ocean floor. The probe travels approimately 2,900 meters at an angle of depression of 70.4 degrees to the ocean floor. How many meters below the surface of the ocean will the probe be when it reaches the ocean floor? Justify your answer and give it to the nearest meter. Find the volume of each m m 12 m 2900 meters Find the volume of each. 16. Find the volume of each cm 24 cm 15 cm 4
5 Find the volume of each Find the VOLUME of the pyramid. Round to the nearest tenth if necessary. 12 m 5 m 24 m 20. Name the solid of revolution produced by rotating the shape 360 about the given ais. Then sketch and label the 3 dimensional figure. 21. Two water tanks are shown. Tank is a rectangular prism and Tank is a cylinder. The tanks are not drawn to scale. Tank is filled with water to the 10 meter mark. The volume of water that leaves Tank is transferred to Tank, and the height of the water in Tank is 10 meters. alculate the volume of water remaining in tank m 11 m 6 m 5
6 etermine whether each pair of triangles is similar. Justify your answer with the theorem etermine whether each pair of triangles is similar. Justify your answer with the theorem Quadrilateral ~ quadrilateral EFGH. Find the value of. F G E H 25. ËMQ ~ ËPN. Find M by showing all work. M 2 7 N 5 8 Q + 3 P 6
7 26. For the pair of similar figures, find the ratio of the area of the first figure to the area of the second man 6 feet tall casts a shadow 4 feet long. t the same time, a building casts a shadow 20 feet long. How tall is the building? billboard at ground level has a 30 foot support beam attached This beam is supported by 5 ft post. Use the figure shown to find reate and solve a proportion to determine. Justify your solution ft ft 29. Identify the similar triangles in corresponding order. Then find. Ë ~ = F 4-5 E ft 7
8 30. If Ë ~ ËE, find by showing your work R E 13 T N S Use the circle at the right. P 2 in 10 in Q a) find m F 9 in X S R 11 in F E 8
9 34. Find m R S 35. Find the value of y in the inscribed quadrilateral. 56 T R y Find the value of y. 37. In ÀO, = 22 cm, OE = 3 cm, and OF = 3 cm. Find F. E 140 y 77 O F 9
10 38. Find m a) Find and m T by writing and solving an equation. (3) (5 6) b) Eplain using proper vocabulary how you created your equation. 40. omplete the sentence: If a shape is a parallelogram, then Point each set of points and determine the most specific name for the quadrilateral formed. Justify your answer. 41. (2, 2) (6, 5) (10, 2) (6, 1) a) opposite sides are and, b) consecutive angles are, c) the diagonals, and d) opposite angles are. 10
11 Point each set of points and determine the most specific name for the quadrilateral formed. Justify your answer. 42. ( 2, 6) ( 2, 1) ( 9, 1) ( 9, 6) 43. M: The diagonals of which quadrilateral are NOT perpendicular? a) kite b) rhombus c) trapezoid d) square 44. etermine the value of for which XYZW is a rectangle. 45. Find the value of
12 46. Find the values of and y. y 47. The figure shows parallelogram. E = 6 28 and let E = 4. What are the lengths of Find your answer and justify with a property below. = y = E Match each property listed below with LL of the types of quadrilaterals listed below that have this property. (Hint: Some may have more than one letter apply.) 81. Eactly one pair of opposite sides are parallel. 82. iagonals are congruent. 83. ll sides are congruent. 84. oth pairs of opposite sides are congruent. 85. iagonals are perpendicular. 86. ll angles are congruent.. parallelogram. rhombus. rectangle. square E. none of the above 12
May 11, Geometry Sem 2 REVIEW for Final Part A ink.notebook. Geometry Sem 2 Review for Final. Part A. 4. x 12" 4' 60. y m.
Geometry Sem 2 Review for Final Find the missing sides of each triangle. Leave answers as simplified radicals. 1. m 2. Part 4' 60 n 30 15 m 60 y m =, n = =, y = Find the missing sides of each triangle.
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