Name _________________________ Review for Common Assessment Chapters 7 – 12 SHOW WORK ON EVERY PROBLEM EXCEPT #8 AND #9 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the value of x. a. ____ b. ____ c. 3, 4, 7 d. 3, 5, 9 4. The diagonal of a square is 15 inches. Find its side length. a. 15 3 c. 15 2 2 b. 15 d. 30 c. d. 17.0 15.5 5. Find the value of x in the triangle below. a. b. ____ c. is an acute triangle d. cannot be formed 3. Choose the set that is the possible side lengths of a right triangle. a. 1, 1, 2 b. 1, 1, ____ d. 2. If the side lengths of a triangle are 7, 6, and 9, the triangle _____. a. is an obtuse triangle b. is a right triangle ____ c. 20.2 10.9 6. A regular polygon has an interior angle with a measure of 144 . How many sides does the polygon have? a. 10 b. 8 c. d. 9 6 ____ 7. Find the measure of each exterior angle of a regular polygon with 24 sides. a. ° b. ° c. ° d. 360° ____ 8. The point C (-5, 7) is reflected in the line y = x. What are the coordinates of C ’ ? a. (-7, 5) b. (7, -5) ____ c. d. (-7, -5) (5, -7) 9. How many lines of symmetry does the figure have? a. 8 b. 4 c. d. 6 3 ____ 10. For the trapezoid shown below, the measure of the midsegment is _______. a. b. c. d. 29 58 25 30 ____ 11. Find the value of the variables in the parallelogram. a. b. c. d. x = 54°, y = 15.5°, z = 149° x = 41°, y = 31°, z = 108° x = 15.5°, y = 54°, z = 149° x = 31°, y = 41°, z = 108° ____ 12. Given: In O, m = 300 . Find m A. a. 30 b. 15 c. 18 d. 36 ____ 13. Use the diagram (not drawn to scale) and the given information. and Find m . a. 24 b. 100 ____ 14. Given m a. 113° b. 134° c. 16 d. 37 = 106°, m = 120°, find x. c. 226° d. 67° ____ 15. Find the value of x. a. 8 b. 6 c. 3 d. 7 ____ 16. Find the length of a 40° arc in a circle with a radius of 4. a. about 2.79 c. about 3.53 b. about 25.13 d. about 5.58 ____ 17. What is the area of the regular polygon? a. about 20.3 square units b. about 18.6 square units c. about 24.8 square units d. about 19.8 square units ____ 18. Find the length of the apothem of a regular pentagon that has a side length of 9 cm. a. about 1.46 cm c. about 6.19 cm b. about 3.27 cm d. about 7.66 cm ____ 19. A circle has a circumference of 37 meters. Find its diameter. a. 11.78 m c. 5.89 m b. 9.25 m d. 18.5 m ____ 20. Find the surface area of the cylinder to the nearest square unit. Use a. 98 m2 b. 307 m2 c. 62 m2 d. 614 m2 ____ 21. An aquarium in a restaurant is a rectangular prism and measures 4 feet by 6 feet by 10 feet. What is the surface area of the aquarium? a. 528 square feet b. 248 square feet c. 192 square feet d. 370 square feet ____ 22. What is the radius of a sphere whose volume is 128 cubic centimeters? a. 2.5 cm b. 6.62 cm c. 4.58 cm d. 8 cm ____ 23. Find the volume of the right cylinder shown below. a. 113.1 cubic ft b. 128.2 cubic ft c. 98.3 cubic ft d. 110.6 cubic ft Answers to Review for Common Assessment 1. d 2. c 3. b 4. c 5. b 6. a 7. b 8. b 9. c 10. a 11. d 12. a 13. d 14. a 15. d 16. a 17. a 18. c 19. a 20. d 21. b 22. c 23. a