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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
12.2
B
5.2
C
7.1
D
19.1
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
21
B
8
C
20
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
15
B
10
C
25
D
17
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
7
C
8
D
6
6) What is the approximate distance between the points (–2, 3) and (2, –1)?
A
4.7
B
6.2
C
5.7
D
3.2
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
10.2
B
20.4
C
38.5
D
6.2
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
22
B
42
C
61
D
41
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
8
B
14
C
16
D
10
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
2
B
9
C
13
D
6
12) What is the distance between (0,3) and (3,-1)
A
3
B
4
C
5
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
7.2
B
18.4
C
12.4
D
17.2
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
13.7
B
11.4
C
17.1
D
8.3
15) Which set of measurements could be the side lengths of a right triangle?
A
10 in., 20 in., 30 in.
B
8 in., 15 in., 17 in.
C
3 in., 5 in., 7 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
17
B
16
C
18
D
19
17) Which set of measurements could be the side lengths of a right triangle?
A
2 ft, 3 ft, 5 ft
B
3 ft, 6 ft, 9 ft
C
6 ft, 9 ft, 12 ft
D
5 ft, 12 ft, 13 ft
18) What is the measure of the missing side of a triangle with an hypotenuse of 20 and a leg of 16?
A
26
B
12
C
10
D
18
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
6 miles
B
8 miles
C
2 miles
D
4 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
260
B
416
C
394
D
322
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