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Name ___________________ Unit: Pythagorean Theorem Test Date ______________ Pd ______ Pythagorean Theorem Unit Test Solve the problems below. Round all answers to the nearest tenth when necessary. 1. Which of the following is not a true statement about the sides of a right triangle? 36 A. B. C. D. 49 The hypotenuse is the longest side. The legs are the sides adjacent to the 90° angle. Side “a” is always longer than side “b”. The hypotenuse is opposite the 90° angle. 3. Find x, the missing side length in the right triangle. 25 4. Which of the following could be the areas of the three squares shown? 12 20 x _______ 5. Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the diagonal length of the table top? A. B. C. D. 40 ft 2, 55 ft 2, 95 ft 2 35 ft 2, 25 ft 2, 45 ft 2 10 ft 2, 100 ft 2 40 ft 2, 30 ft 2, 1200 ft 2 A • B • _______ 7. A cone shaped tepee has a radius of 4 feet and a slant height of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee. A. B. C. D. Joe is shorter than the tepee. Joe is taller than the tepee. Joe is the same height as the tepee. There is not enough information to determine if Joe is shorter or taller than the tepee. ©Maneuvering the Middle LLC, 2016

Solve the problems below. Round all answers to the nearest tenth when necessary. 8. Find the perimeter of the trapezoid. • • 9. The three squares below join together to form a right triangle. The area and the perimeter for two of the squares is shown. Find the side length of the largest square. x Area: 81 in. 2 • • Perimeter: 48 in. _______________ 10. Which of the following could not be the side lengths of a right triangle? A. B. C. D. 4 in. 7. 5, 10 and 12. 5 85, 13 and 84 37, 35 and 12 24, 22 and 40 4 in. 12. Find the perimeter of the isosceles triangle. 13. Find x, the missing side length of the right triangle. 14 7 ft. 48 ft. 9 x _______________ 14. Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below? Sh Pine St. or tcu t A. 73 yards B. 20 yards C. 53 yards D. 126 yards Maple Ave. ©Maneuvering the Middle LLC, 2016

Solve the problems below. Round all answers to the nearest tenth when necessary. 15. Which of the following is closest to the diagonal length between A and B? A 12 in. A. B. C. D. 15. 6 inches 10 inches 244 inches 22 inches 6 in. 8 in. 17. A pyramid has a square base with sides that measure 10 cm and a height of 14 cm. What is the slant height of the pyramid? A. B. C. D. B 18. In a football drill, Ron is standing 30 yards directly east of John, and Bill is standing 40 yards directly north of John. If the football is thrown from Ron to Bill and then from Bill to John, how many yards did the football travel? 17. 2 cm 14. 9 cm 13. 2 cm 12. 1 cm ________ In the graph below, Point A represents Owen’s house, Point B represents David’s house and Point C represents the school. Each unit on the graph represents 1. 5 miles. Use the graph to answer questions 19 and 20. 19. How many miles does Owen live from the school? C • • B ________ 20. Who lives closer to the school, and by how many miles? • A _________________ ©Maneuvering the Middle LLC, 2016