Name _______________________________________ Date __________________ Class __________________ MODULE 8 The Pythagorean Theorem Quiz 1. What is the length of the hypotenuse of the triangle below? A 23 C 65 B 45.2 D 89 2. A diagonal shortcut across an empty rectangular lot is 121 feet. The lot is 72 feet long. What is the other dimension of the lot? A 97.2 feet C 139.9 feet B 49 feet D 193 feet 3. An isosceles right triangle has legs that are 10 inches long. How long is the hypotenuse? A 10 in. C 20 in. B 14.1 in. D 28.2 in. 4. Which set of three numbers can be used to make a right triangle? A 39, 41, 45 B 39, 49, 59 C 39, 69, 99 D 39, 80, 89 5. Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet? A 10 60 is greater than 65. B 65 60 does not equal 10. C 10 60 does not equal 65 . 2 2 2 D (10 60) does not equal 65 . 2 2 6. What is the distance between points W and X to the nearest hundredth? A 8.49 C 16.97 B 12 D 24 7. A carpenter added a diagonal brace to a gate that measures 45 inches wide and 55 inches tall. How long is the brace to the nearest inch? _______________________________________ 8. Find the diagonal d of a cube that is 14 inches on each edge. Round to the nearest tenth. _______________________________________ 9. A child is flying a kite and has let out all 80 feet of the kite’s string. The kite is 35 feet above a stop sign. How far is the child from the stop sign to the nearest foot? _______________________________________ 10. What is the measure of the missing angle of the triangle below? A 90 B 82 C 98 D 180 Use the figure for 11 - 14. 11. Which of the following terms best describes the relationship between w and x? A corresponding angles B same-side interior angles C alternate interior angles D remote interior angles 12. Which of the following pairs of angles are corresponding angles? A z and x B t and x C w and t D y and x 13. Which of the following pairs of angles are congruent? A w and z B y and x C w and y D w and t 14. Which angle is not congruent to x? A z B t C y Answer Key 1) __ C 2) __ A 3) __ B 4) __ D 5) __ C 6) __ A 7) __ 71 INCHES 8) __ 19.8 INCHES 9) __ 72 FEET 10) _ B 11) _ B 12) _ B 13) _ C 14) _ C
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