Review for Spring Final Exam Geometry 1. Classify the figure. Name the vertices, edges, and base.

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1 Name lass ue date Review for Spring Final Exam Geometry 1. lassify the figure. Name the vertices, edges, and base. 4. raw all 6 orthographic views from the given object. ssume there are no hidden cubes. Top, bottom, front, back, left & right. Label each drawing. F 5. raw an isometric view of the given object. 2. escribe the three-dimensional figure that can be made from the given net. 3.escribe the cross section. 6. Find the area of the parallelogram. 7 in. 5 in. h 3 in.

2 Name lass ue date 7. Find the number of vertices, edges, and faces of the given polyhedron. 8. Find the lateral area and surface area of the right cylinder. Give your answer in terms of. 6 m 10 m 9. Find the area of a trapezoid, in which rea = 13 cm 3 cm 16 cm 10. Find the area of the rhombus. (What is the formula for the area of a rhumbus? = ) rea d1 = (6x + 4) cm d2 = (10x + 10) cm

3 Name lass ue date 11. The vertices of square are the midpoints of the sides of a larger square. Find the perimeter and the area of square. Round to the nearest hundredth. 14. Find the shaded area. Round to the nearest tenth. 5 cm 5 cm perimeter area 12. Find the area of in terms of. Q 20 in. rea = 13. Find the area of a regular hexagon with side length 4 m. Round to the nearest tenth. = ap 15. Find the area of the triangle with vertices and x y 16. Write the trigonometric ratio for cos Y as a fraction and as a decimal rounded to the nearest hundredth. 4 m Y 15 9 apothem 2 m X Z 12 cos Y = 17. Use a special right triangle to write tan 60 as a fraction. ( )

4 Name lass ue date 18. Use your calculator to find trigonometric ratios sin 79, cos 47, and tan 77. Round to the nearest hundredth. 19. Find GH. Round to the nearest hundredth. 22. The largest Egyptian pyramid is m high. When Rowena stands far away from the pyramid, her line of sight to the top of the pyramid forms an angle of elevation of 20 with the ground. What is the horizontal distance between the center of the pyramid and Rowena? Round to the nearest meter. G F in. H 23. n eagle 300 feet in the air spots its prey on the ground. The angle of depression to its prey is 15. What is the horizontal distance between the eagle and its prey? raw a picture. Round to the nearest foot. 20. Jessie is building a ramp for loading motorcycles onto a trailer. The trailer is 2.8 feet off of the ground. To avoid making it too difficult to push a motorcycle up the ramp, Jessie decides to make the angle between the ramp and the ground 15. To the nearest hundredth of a foot, find the length of the ramp. 24. Given that two points on line m are P(7, 11) and Q(12, 9), write a ratio expressing the slope of m. 21. The coordinates of the vertices of are. Find m. 25. Solve the proportion. 26. video game designer is modeling a tower that is 320 ft high and 260 ft wide. She creates an model so that the similarity ratio of the model to the tower is. What is the height and the width of the model in inches?

5 Name lass ue date 27. oby designs a rectangular vegetable garden. What will be the length of the full-size vegetable garden? Full-size Vegetable Garden esign 96 in. 12 in. 18 in.? 28. Identify the pairs of congruent angles and proportional corresponding side lengths. 30. Find the unknown side length )) 18 ( ) F (( 6 E 31. escribe the cross section that you will get when you cut a right cone 1) Parallel to the base 2) Through the apex of the cone perpendicular to the base 3) t a slant through both sides of the cone 4) t a slant from one side of the cone and the base 29. Explain why the triangles are similar and write a similarity statement. >> E >>

6 Name lass ue date 32. The perimeter of is 30 cm. bisects. Find MN and MO. N 3 cm P 7 cm 38. The diagram shows the parallelogram-shaped component that attaches a car s rearview mirror to the car. In parallelogram RSTU, UR = 25, RX = 16, and = 42.4 o. Find ST, XT, and m RST. S X T M O R U 33. tree is standing next to a 40-foot high building. The tree has an 18-foot shadow, while the building has a 16-foot shadow. How tall is the tree, rounded to the nearest foot? 39. Three vertices of parallelogram WXYZ are X( 2, 3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W. 34. house is 32 feet wide and 60 feet long. If a sketch is made of the house using the scale 1 cm: 4 ft, what are the dimensions of the sketch? 40. n artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center of the quilt. The dimensions of the rectangle are inches and inches. Find. 35. Tell whether the polygon is regular or irregular. Tell whether it is concave or convex. X 41.Show that all four sides of square are congruent and that. 5 y Find the measure of each interior angle of a regular 45-gon x Find the measure of each exterior angle of a regular decagon

7 Name lass ue date 42. Given isosceles trapezoid with,, and. Find Y = Y 45. and are tangent to. Find. 3y y P 43. Find RS. 46. Find the area of sector POM. Give your answer in terms of. Q X R >> 22 >> 26 S Y T O P 54º M 4 cm 47. Find the arc length of an arc with measure 130º in a circle with radius 2 in. Round to the nearest tenth. 44. Identify the secant that intersects. L 130º 2 in M l

8 Name lass ue date 48. Find m 52. Two of the muscles that control eye movement are attached to the eyeball and intersect behind the eye as shown. If, what is? 15º 49. Find all four angle measures of. F (4x 10)º(3x + 7)º (2x + 3)º 53. Reflect a figure with vertices across the x-axis. Find the coordinates of the new image. 50. Find m. 158º 51. Find m. 35º 115º