Name:
Class:
Date:
7th Grade Pre-AP
Unit 10: Triangles and Pythagorean Theorem Review #2
1. Determine the value of x in the figure shown below.
3. In the figure below, m 1 = x° and m 2(x – 4)°. What
statement could be used to show that x = 47?
a. m 1 = m 2
b. m 2 = 47
c. m 1 + m 2 = 90
d. m 1 + m 2 = 180
a. 28
b. 62
c. 90
d. 118
2. In the figure shown, identify one pair of angles that is
not congruent.
a.
1 and
7
b.
3 and
5
c.
4 and
6
d.
2 and
5
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4. Rini used a stick to draw a right triangle in the ground.
The hypotenuse of her triangle is 24 inches and one of
the legs is 12 inches. What is the length of the third side?
Round to the nearest tenth.
a. 2 in.
b. 12 in.
c. 20.8 in.
d. 26.8 in.
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7th Grade Pre-AP
5. In the figure shown, determine m 6 if m 2 = 75°.
Determine the value of x in each triangle.
7.
a. 20
b. 40
c. 45
d. 60
a. 40°
b. 50°
c. 55°
d. 75°
8.
6. Use the diagram below. Write and solve an equation
to determine how far above Jorge’s head the balloon is
in the air. Round to the nearest tenth.
a. 40
b. 42
c. 45
d. 48
Determine the perimeter of each triangle.
9.
a. x2 + 952 = 802; 47.8 yd
b. x2 + 952 = 802; 49.4 yd
c. x2 + 802 = 952; 51.2 yd
a. 20 in.
b. 28 in.
c. 40 in.
d. 48 in.
d. x2 + 802 = 952; 63.2 yd
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10.
a. 13 cm
b. 17 cm
c. 26 cm
d. 30 cm
13. Maude’s living room is in the shape of a rectangle.
Its dimensions are 21 feet by 14 feet. Find the length of
the diagonal of the living room. Round your answer to
the nearest tenth if necessary.
a. 14 ft
b. 21 ft
c. 25.2 ft
d. 25.5 ft
14. If m 1 = (x + 70)° and m 2 = (5x – 54)°, what is m
3?
11. The length of three sides of a triangle are 7
centimeters, 9 centimeters, and 11 centimeters.
Determine whether the triangle is a right triangle. Justify
your response.
a. yes; 7 + 9 > 11
b. yes; 72 + 92 = 112
c. no; 7 + 9 = 16
d. no;
12. Determine the distance between points M(–4, 6) and
N(10, –5). Round to the nearest tenth if necessary.
a. 17.6 units
b. 17.8 units
c. 18.1 units
d. 19.0 units
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a. 31°
b. 54°
c. 63°
d. 79°
15. What is the value of a in the right triangle shown
below?
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7th Grade Pre-AP
16. In the figure shown, identify one pair of angles that
are congruent.
a.
1 and
5
b.
1 and
6
c.
2 and
3
d.
3 and
6
17. In the figure below, m 1 = (2x)° and m 2 = (3x –
5)°. What statement could be used to show that x = 19?
19. In the figure shown, determine m 8 if m 4 = 52°.
a. 38°
b. 40°
c. 50°
d. 52°
20. Use the diagram below. Write and solve an equation
to determine how tall the flagpole is. Round to the
nearest tenth.
a. m 1 = m 2
b. m 1 = 40
c. m 1 + m 2 = 90
d. m 1 + m 2 = 180
18. Heather drew a right triangle with chalk on the side
of her house. The hypotenuse of her triangle is 40 inches
and one of the legs is 15 inches. What is the length of the
third side? Round to the nearest tenth.
a. 36.4 in.
b. 37.1 in.
c. 38.9 in.
d. 40.3 in.
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a. x2 + 742 = 602; 29.8 ft
b. x2 + 742 = 602; 32.4 ft
c. x2 + 602 = 742; 43.3 ft
d. x2 + 602 = 752; 53.1 ft
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Name:
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7th Grade Pre-AP
Determine the perimeter of each triangle.
24. Determine the distance between points M(3, 2) and
N(2, –4). Round to the nearest tenth if necessary.
a. 6 units
b. 6.1 units
c. 6.3 units
d. 6.8 units
21.
a. 35 cm
b. 55 cm
c. 60 cm
d. 75 cm
25. Kitty made a poster in the shape of a rectangle. Its
dimensions are 4 feet by 7 feet. Find the length of the
diagonal of the poster. Round your answer to the nearest
tenth if necessary.
a. 7.7 ft
b. 8.1 ft
c. 8.6 ft
d. 8.7 ft
22.
26. If m 1 = (2x + 45)° and m 3 = (3x – 20)°, what is
m 2?
a. 50 in.
b. 52 in.
c. 118 in.
d. 120 in.
23. The length of three sides of a triangle are 10
centimeters, 11 centimeters, and 13 centimeters.
Determine whether the triangle is a right triangle. Justify
your response.
a. yes; 10 + 11 > 13
b. yes; 102 + 112 = 132
c. no; 10 + 11 = 21
d. no;
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a. 31°
b. 62°
c. 93°
d. 107°
Page 5
Name:
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7th Grade Pre-AP
Answer Key
1. d
26. d
2. d
3. c
4. c
5. d
6. c
7. b
8. d
9. d
10. d
11. d
12. b
13. c
14. d
15. 18
16. a
17. c
18. b
19. d
20. c
21. c
22. d
23. d
24. b
25. b
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