Name ________________________________________ Date __________________ Class __________________
MODULE
12
The Pythagorean Theorem
Module Quiz: B
6. Which set of three numbers can be used
to make a right triangle?
1. What is the length of the hypotenuse of
the triangle below?
A 39, 41, 45
B 39, 49, 59
C 39, 69, 99
D 39, 80, 89
A 23
C 65
B 45.2
D 89
7. 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.
2. A diagonal shortcut across an empty
rectangular lot is 97 feet. The lot is 72
feet long. What is the other dimension of
the lot?
A 65 feet
C 120.8 feet
B 84.5 feet
D 169 feet
C 102 + 602 does not equal 652.
D (10 + 60)2 does not equal 652.
8. What is the distance between two points
with coordinates at (8, 40) and (20, 5)?
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.
A 35.3
C 47
B 37
D 54.1
9. What is the distance between points W
and X to the nearest hundredth?
Use this figure for 4 and 5.
4. The box above is 15 centimeters long,
4 centimeters wide, and 3 centimeters
tall. What is the length of the diagonal s
of the bottom side?
A 4.4 cm
C 15.5 cm
B 14.5 cm
D 19 cm
C 15.8 cm
B 5 cm
D 22 cm
C 16.97
B 12
D 24
10. What is the scientific notation for
568 billion?
5. What is the length of the diagonal r of the
box?
A 4.7 cm
A 8.49
A 5.68 × 108
C 5.68 × 1011
B 5.68 × 109
D 5.68 × 1012
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59
Name ________________________________________ Date __________________ Class __________________
MODULE
12
The Pythagorean Theorem
11. What is the missing side length in the
triangle below?
16. What is the distance between the origin
and a point at (−15, 8)?
________________________________________
17. On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10, 6). Find the lengths of the three
sides to the nearest tenth.
________________________________________
12. A right triangle has legs of
15 centimeters and 22 centimeters. What
is the length of the hypotenuse to the
nearest tenth of a centimeter?
________________________________________
13. 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 tenth of an inch?
________________________________________
________________________________________
14. Find the diagonal d of a cube that is
14 inches on each edge. Round your
answer to the nearest tenth of an inch.
________________________________________
18. 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?
________________________________________
19. A graph is drawn to show this linear
relationship. What is the slope of the
graphed line?
________________________________________
15. A student has four sticks of wood that
measure 12 inches, 15 inches, 18 inches,
and 30 inches. Can the student use three
of these to make a right triangle with a
hypotenuse of 30 inches? Explain your
answer.
Time (x)
Distance (y)
3.5 h
5.5 h
240 mi
320 mi
________________________________________
________________________________________
________________________________________
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60
12. Dilate A′B′C′D′ by a scale factor of
9. No, they are not similar because only
one angle of the triangles is congruent.
The angle measures in the triangle at left
are 46°, 90°, and 44°. In the triangle at
right, the angle measures are 46°, 38°,
and 96°.
1
.
4
13. It is smaller than the original figure
because the scale factor is less
than 1.
14. Check students’ triangles and images.
10. No, it is not a function because there are
two different outputs (6 and 14) for the
same input (12).
MODULE 11 Angle
Relationships in Parallel Lines
and Triangles
11. 117 = 81 + b
36 = b
∠b = 36°
Module Quiz 11: B
12. 53 mph
1. C
13. Sample answer:
2. B
3. B
4. A
5. D
6. C
7. D
8. 9 in.
MODULE 12 The Pythagorean
Theorem
9. Ashley
10. 2 mi/h
11. 98°
Module Quiz 12: B
12. 139°
1. C
13. 123°
2. A
14. 123°
3. B
15. No. The angle measures for the triangle
on the left are 60°, 62°, and 58°. The
angle measures for the triangle on the
right are 62°, 62°, and 56°. The triangles
have only one pair of congruent angles
so they are not similar.
4. C
5. C
6. D
7. C
8. B
Module Quiz 11: D
9. C
1. B
10. C
2. B
11. 45
3. C
12. 26.6 cm
4. C
13. 71.1 in.
5. B
14. 24.2 in.
6. B
15. No. Sample explanation: None of these
7. A
expressions are equal to 30: 122 + 152 ,
8. C
122 + 182 ,
152 + 182
16. 17 units
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173
17. PR ≈ 8.2, QR ≈ 4.2, PQ ≈ 7.1
MODULE 13 Volume
Module Quiz 13: B
1. B
2. D
3. A
4. B
5. C
18. 71.9 ft
6. D
19. 40
7. B
8. B
Module Quiz 12: D
9. V ≈ (3.14)(1.752 )(1.25)
1. A
V ≈ 12.02 in.3
V ≈ (3.14)(1.22 )(1.25)
2. B
3. B
V ≈ 5.65 in.3
12.02 − 5.65 = 6.37 in.3 difference
4. C
5. A
10. Entire funnel:
1
V ≈ (3.14)(42 )(9) ≈ 150.72 in.3
3
1
Tip: V ≈ (3.14)(0.52 )(1) ≈ 0.2617 in.3
3
150.72 − 0.2617 ≈ 150.5 in.3
6. A
7. C
8. B
9. C
10. B
11. No, the triangles have only one congruent
angle so they are not similar. The angles
of the left triangle measure 60°, 58°, and
62°. The angles of the right triangle
measure 60°, 59°, and 61°.
11. 20
12. 41 cm
13. 100 in.
14. 17.3 in.
12. 713.21 ÷ 3.14 = 227.14
5.22 = 27.04
227.14 ÷ 27.04 = 8.4
The height is about 8.4 inches.
15. Yes. The lengths 3, 4, and 5 make a right
triangle because 32 + 42 = 52.
16. 17 units
13. Two cylinders with the same diameter
may or may not have the same volume,
depending on the two heights. The same
is true for two cones. Two spheres with
the same diameter will have the same
volume because the formula doesn’t use
any other dimension.
17. EF = 6, FG = 8, EG = 10
14. No, 202 + 482 ≠ 542, so it cannot be a
right triangle.
Module Quiz 13: D
18. 50 ft
1. C
19. 30
2. A
3. B
4. C
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