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Pythagorean Theorem
Test Description: Review
Instructions: Answer all questions to get your test result.
1) Triangle EFG has vertices at E(–3, 2), F(–3, –12), and G(10, 2). What is the approximate length of segment FG?
A
5.2
B
12.2
C
19.1
D
7.1
2) Triangle ABC has coordinates A(–6, 0), B(–2, 0), and C(–2, –7). What is the approximate perimeter of triangle ABC?
A
19.1
B
14.3
C
8.1
D
76
3) What is the length of the hypotenuse in the right triangle with sides 9 and 12?
A
8
B
20
C
21
D
15
4) What is the length of the missing side when a triangle has an hypotenuse of 26 and a leg of 24?
A
17
B
15
C
25
D
10
5) Triangle PQR has vertices at P(–2, 1), Q(–2, –4), and R(4, –4). What is the approximate length of line segment PR?
A
5
B
6
C
7
D
8
6) What is the approximate distance between the points (–2, 3) and (2, –1)?
A
4.7
B
3.2
C
6.2
D
5.7
7) The vertices of a triangle are located at L(4, –3), M(1, –3), and N(1, 0). What is the approximate perimeter of triangle LMN?
A
6.2
B
38.5
C
20.4
D
10.2
8) The side lengths of a square are 16 cm each. What is the approximate length of the diagonal of the square?
A
17
B
32
C
24
D
23
9) A rectangular television screen has a diagonal measurement of 52 inches and a width of 32 inches. What is the approximate length of the television screen?
A
42
B
41
C
61
D
22
10) Triangle EFG has vertices at E(–3, 0), F(3, 0), and G(3, 8). What is the length of line segment EG?
A
16
B
10
C
8
D
14
11) A rope 10 feet long is tied to the top of an 8-foot pole. If the rope is pulled tightly, how far from the bottom of the pole should the rope be staked to the ground?
A
13
B
6
C
2
D
9
12) What is the distance between (0,3) and (3,-1)
A
4
B
5
C
3
D
7
13) Triangle JKL has vertices J(0, 7), K(0, 1), and L(4, 7). What is the approximate perimeter of the triangle?
A
18.4
B
7.2
C
17.2
D
12.4
14) The shortest side of a right triangle is 7.2 centimeters long and the longest side is 15.5 centimeters long. What is the length, to the nearest tenth of a centimeter, of the third side?
A
11.4
B
8.3
C
17.1
D
13.7
15) Which set of measurements could be the side lengths of a right triangle?
A
10 in., 20 in., 30 in.
B
3 in., 5 in., 7 in.
C
8 in., 15 in., 17 in.
D
6 in., 9 in., 12 in.
16) A right triangle has an area of 60 cm2. The base of the triangle is 15 cm long. What is the length of the hypotenuse of the right triangle?
A
18
B
16
C
17
D
19
17) Which set of measurements could be the side lengths of a right triangle?
A
5 ft, 12 ft, 13 ft
B
6 ft, 9 ft, 12 ft
C
3 ft, 6 ft, 9 ft
D
2 ft, 3 ft, 5 ft
18) What is the measure of the missing side of a triangle with an hypotenuse of 20 and a leg of 16?
A
12
B
26
C
18
D
10
19) A boat starts in Riverton and sails 5 miles North. Then, the boat sails East another 3 miles, forming a right angle. What is the approximate shortest distance back to Riverton?
A
8 miles
B
2 miles
C
4 miles
D
6 miles
20) The length of a football field is 360 feet and the width is 160 feet. What is the approximate length of the diagonal of the football field?
A
416
B
322
C
394
D
260
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