Geometry Final Exam Review
Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ____ 1. The diameter of a circle is 8 meters. Which is the area of the circle to the nearest hundredth of a square meter? Use . a. 12.56 m b. 25.12 m c. 50.24 m d. 157.75 m 2. The width of the roadway of the Golden Gate Bridge is 21 meters. The total length of the roadway is 2737 meters. Suppose the roadway needs to be resurfaced. What is the area of the rectangular roadway that will be resurfaced? a. 2758 m b. 5474 m c. 5516 m d. 57,477 m 3. The radius of a circle is 10 feet. What is the circumference of the circle? Use . a. 31.4 ft b. 62.8 ft c. 125.6 ft d. 314 ft 4. The rectangular display area on a computer monitor is 13 inches by 9 inches. If the display area is surrounded by a 1 -inch frame, what is the perimeter of the front face of the monitor? a. 18.75 in. b. 31.5 in. c. 57.5 in. d. 76.5 in. 5. The diameter of one of the main cables on the Golden Gate Bridge is 0.92 meter. What is the area of a circular cross section of the cable, to the nearest hundredth of a square meter? Use a. 0.66 m2 b. 0.85 m2 c. 2.66 m2 d. 2.89 m2 6. Which is the surface area of the right triangular prism shown below?
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1440 m 1536 m 1572 m 1632 m 7. The polygon ABCD below is an isosceles trapezoid with trapezoid?
a. b. c. d.
. Which is the area of the
72 cm 96 cm 120 cm 240 cm ____ 8. Which is the sum of the measures of the interior angles of a nonagon? a. 180° b. 1080° c. 1260° d. 1620° ____ 9. The center of a circle has coordinates (1, 3) and the point ( 2, 3) lies on the circle. What is the circumference of the circle? a. 9 cm b. 6 cm c. 3 cm d. 2 cm ____ 10. Refer to the figure below. What kind of transformation can you use on figure A to obtain figure B as the image?
a. b. c. d.
a. Reflection over line n
b. Translation parallel to line m c. Rotation around point P d. Dilation with center at P ____ 11. The interior of each file cabinet drawer measures 17 inches by 13 inches by 10 inches. What is the total volume of the two drawers to the nearest cubic inch?
82 in 1557 in 2352 in 4705 in ____ 12. If the perimeter of the regular octagon is 40 millimeters, what is the length of one side?
a. b. c. d.
a. 5 mm b. 6 mm c. 10 mm d. 20 mm ____ 13. A point is moved from point P to point 3) is translated the same way?
as shown. What are the coordinates of point
if A(5,
a. ( b. c. d.
)
____ 14. The radius of the circle shown below is 4 centimeters. To the nearest tenth, what is the area of the inscribed regular hexagon?
41.6 cm 50.3 cm 55.4 cm 83.1 cm ____ 15. In an isosceles triangle, the vertex angle measures 96°. What is the measure of each of the base angles of the triangle? a. 3° b. 24° c. 42° d. 84° ____ 16. Estimate the area of the shaded region.
a. b. c. d.
a. 1.5 square units b. 3 square units c. 5 square units d. 6 square units ____ 17. Find the value of x in the figure below.
a. 24 cm b. 32 cm c. 36 cm d. 37 cm ____ 18. The perimeter of one square ceramic tile is 4 feet. Which arrangement of tiles has a perimeter of 18 feet?
a.
b.
c.
d.
____ 19. A cylinder has height 16 inches and a diameter of 12 inches. Find the surface area of the cylinder. Use and round to the nearest tenth. a. 2486.9 in b. 2110.1 in c. 829.0 in d. 527.5 in ____ 20. Find the volume of a square pyramid if the length of each side of the base is 12 feet and the height of the pyramid is 25 feet. a. 200 ft b. 600 ft c. 1200 ft d. 3600 ft Use the figure to answer the following questions.
____ 21. Find the surface area of the figure above. a. 840 m b. 720 m c. 608 m d. 528 m ____ 22. In the figure below, quadrilateral is a rhombus and measure of .
°. Find the
a. 31° b. 37° c. 74° d. 143° ____ 23. In the figure below, a square with side length c is drawn inside a square with side length . The shaded area of the figure is a trapezoid created by drawing a diagonal of the smaller square. Which statement about the area of the trapezoid leads to the conclusion that ?
a. b. c. d. ____ 24. The hypotenuse of an isosceles right triangle is 6 feet long. To the nearest tenth, what is the length of each leg of the triangle? a. 4.2 ft b. 6.0 ft c. 8.5 ft d. 9.0 ft ____ 25. Refer to the figure below. Which is the value of x to the nearest tenth?
a. 6.4 m
b. 12.8 m c. 14.5 m d. 17.7 m ____ 26. The base of the rectangular prism below has a diagonal 10 inches long. The height of the prism is 5 inches. To the nearest tenth, what is the distance from A to G?
a. 5.6 in. b. 8.7 in. c. 10.9 in. d. 11.2 in. ____ 27. Shawna wants to package a 16-inch garden spade in a cubical box. To the nearest inch, which is the minimum dimension of the cubical box in which the spade will fit? a. 8 in. b. 10 in. c. 11 in. d. 15 in. ____ 28. Angle A is an acute angle in right triangle ABC. If °, which of the following has a value of ? a. sin A b. cos A c. sin B d. tan B ____ 29. In right triangle ABC, the measure of is 76° and the hypotenuse is 17 centimeters long. To the nearest centimeter, what is the length of the leg of the triangle that is adjacent to ? a. 4 cm b. 12 cm c. 16 cm d. 68 cm ____ 30. The altitude of an equilateral triangle is 20 inches long. To the nearest inch, what is the length of each side of the triangle?
a. 16 in. b. 17 in. c. 23 in.
d. 40 in. ____ 31. In a parking garage, each level above the first is 20 feet above the level just below it. The measure of the angle of elevation for each ramp between levels is 9°. What is the length of a ramp to the nearest foot?
a. 39 ft b. 89 ft c. 126 ft d. 128 ft ____ 32. What is the value of x in the figure below?
a. 5 b. 7 c. 11 d. 12 ____ 33. Quadrilateral RSTV is inscribed in circle C. Which statement must be true? a. b. and are supplementary c. and are complementary. d. and are right angles. ____ 34. Which rigid motions would make the unshaded semicircle coincide with the shaded semicircle?
a. A 180° rotation about point X followed by a reflection over line . b. A 90° counterclockwise rotation about point X followed by a 5-inch translation perpendicular to line . c. A 5-inch translation parallel to line followed by a reflection over line . d. A reflection over line followed by a 90° clockwise rotation about point X.