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Test on Midpoints, Distances, and the Pythagorean Theorem Good Luck to _____________________________________period______________date____________ 1. The endpoints of QA are Q (-8,6) and A(-5,3). What the coordinates of the midpoint of QA ? A (-6.5, 4.5) B ( -1.5, 4.5) C (-3, 9) D (7, 4.5) 2. Using the same segment, QA , as in number 1, what is the length of segment QA to the nearest tenth? A 3.6 B 16.6 C 4.2 D 9.2 3. Find the length of the missing side in the following right triangle to the nearest tenth.. A 12.1 B 23.0 7 C 15.7 14 D 14.9 4. Which of the following sets of numbers will form a right triangle? A 12, 13, 14 B 15, 16, 18 C 5, 6, 9 D 5,12,13 5. The midpoint of TP is (3, 0). If one endpoint, point T, has the coordinates (-2, -6), what is the coordinate of point P the other endpoint of TP ? A (0.5 , -3) B (-4 , -4) C ( 1 , -6) D (8 , 6) 6. Find the measure of the missing side of a right triangle to the nearest tenth, if one leg is 36 cm and the hypotenuse is 39 cm. A 15.0 B 53.1 C 26.0 D 15.5 7. A rectangular field has sides with lengths of 120 yards and 62 yards. To the nearest tenth of a yard, find the length of the diagonal of the field. A 202.0 yards C 96.0 yards B 135.1 yards 62 yds. D 102.7 yards 120 yds. 8. Find the distance between point A (-21, 0) and point C (53, -31) to the nearest hundredth. Write your answer in the grid below. 9. Which model below uses the Pythagorean Theorem to show that the triangle is a right triangle? B A D C 10. What is the distance on the number line from -52 to -543? A -595 B 538 C 595 D 491