Name _________________________ Block______ Date __________________

R Q

P

12

16

20

Not drawn to scale

Geometry Final Exam Review 1. Solve the proportion: = 2. Solve the proportion for x. = 3. A survey showed that 3 out of every 7 voters would vote in an election. Based on this survey, how many people would vote in a city with 21,000 voters?

4. Parallelogram PARL parallelogram WXYZ. Find the value of c. 5. Find x and the measures of the indicated parts.

AB and BC

5. Given RSTU a LMNO, solve for x. 6. Given the figure, SR = 12, AR = 3, and ST = 15, find SC. 7. If a 15-foot tree casts a 9-foot-long shadow. How tall is a tree that casts a 5-foot-long shadow? 8. Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 44 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 6 feet above the ground and she was 18 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. 9. Write the trigonometric (sine, cosine, and tangent) ratios for and .

R S

T U

L M

N O

3

4

2

3x

9 6

12

6x + 12

S

A

R

C

T

Name _________________________ Block______ Date __________________

11

x��q

Not drawn to scale

x 18

��q

Not drawn to scale

x

��q7

Not drawn to scale

10. Find the value of x. Round sides to the nearest tenth, and angles to the nearest degree.

A. B. C.

D. E.

11. To approach the runway, a small plane must begin a 7 descent starting from a height of 1519 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

12. Determine the height of the flagpole shown in the figure.

13. Find the area of the triangle.

14. Find the area of the figure. Round to the nearest tenth if necessary.

15. The area of a parallelogram is 225 cm2 and the height is 15 cm. Find the corresponding base.

18 x

��q

Not drawn to scale

16

10

xq

Not drawn to scale

�qx

1519 ft

Not drawn to scale

10 yd

16 yd

20 yd

Name _________________________ Block______ Date __________________ 16. Find the area of a regular hexagon with side length 8 m. Round to the nearest tenth.

17. Find the area of the composite figure.

18. Find the area of the triangle with vertices A(-1,3), B(2,3), and C(2,6). 19. The radius of A is multiplied by 2. Describe the effect of the change on the area.

20. Find the area of a rectangle that is 14 cm long and 3 cm wide. 21. Find the perimeter of the rectangle shown.

22. Find the area of a square with a perimeter of 40 m. 23. Find the area of the parallelogram. 24. Find the area of a triangle with a base of 18 m and a height of 4 m. 25. A trapezoid with a height of 6 ft has bases of lengths 12 ft and 8 ft. Find the area of the trapezoid.

5 m

10 m

apothem

13 in 5 in

7

8

60q

Name _________________________ Block______ Date __________________

15 cm

3 cm

Not drawn to scale

5 mm

7 in.

10 in.

Not drawn to scale

26. Find the circumference of the circle. Leave your answer in terms ofS .

27. Find the area of a circle with a radius of 18 inches is terms of S . 28. Describe the three-dimensional figure that can be made from the given net. 29. Find the surface area of the cone to the nearest square unit. Use S = 3.14. 30. Find the volume of a right rectangular prism with length 10 in., width 9 in., and height 5 in. Round to the nearest tenth, if necessary.

31. Find the surface area and volume of the sphere to the nearest square unit. 32. Find the surface area and volume of the cylinder to the nearest cubic foot. Use a calculator.

7.3 cm

Name _________________________ Block______ Date __________________

12 cm12 cm

10 cm

Not drawn to scale

x°

158°

72°

x°

10° 60°

W

Z

X RC

Y

35

72

33. The length, width, and height of the rectangular pyramid are multiplied by 3. Describe the effect on the volume.

34. The radius of the sphere is multiplied by 1/3. Describe the effect on the volume. 35. Find the measure of �x.

A. B. C. D.

36. and are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.) 37. Identify the all the lines that intersects : Secant: __________ Tangent: _______ Radius: _______ Diameter: _________ Chord: ________ 38. Find m(arc)CFB

39. Find the area of sector and arc length. Give your answer in terms of .

A

B

l

D C

Name _________________________ Block______ Date __________________

6

23

x

40. Find m�x:

41. Find x. Assume that segments that appear tangent are tangent.

41. Write the standard equation for the circle with a center (4, 3) and r = 4 42. Find the center and the radius of the circle: (x-7)² + (x+9)² = 49 43. Solve for x: A. B. 44. Determine how many lines of symmetry the object has.

45. Translate the with endpoints under the translation ¢ 2, -2². Give the coordinates of the new image.

Name _________________________ Block______ Date __________________ 46. State the vector use to translate the following figures:

47. Are the tessellation shown regular or semiregular?

48. Graph the reflection of the polygon in the given line

49. Graph the figure and it’s image after a 90q rotation about the origin. A(1, 2) ; B(4, 2); C(3, 4)

50. R90º ° r y axis How would this be read? ________________________________ Find A” if A(5,2) _____________