The Pythagorean Theorem

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