Test on Midpoints, Distances, and the Pythagorean Theorem
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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