Pythagorean Theorem [274144]
Student
Class
Date
1. Which statement best explains how to use the side measures of a triangle to show that a triangle
is a right triangle?
A. Find the sum of the squares of the lengths of the legs and see if it equals the length of the
hypotenuse squared.
B. Find the square root of the length of the hypotenuse and see if it equals the sum of the
lengths of the legs.
C. Find the square of the length of the hypotenuse and see if it equals the sum of the lengths of
the legs.
D. Find the average of the lengths of the two legs and see if it equals the length of the
hypotenuse.
2. The side lengths of a square are 16 cm each. What is the
approximate length of the diagonal of the square?
A. 17 cm
B. 23 cm
C. 24 cm
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D. 32 cm
3. What is the perimeter of △JKL below?
A. 28 cm
B. 30 cm
C. 34 cm
D. 36 cm
4. Which measurements below are lengths of the sides of a right
triangle?
A. 10 cm, 24 cm, 39 cm
B. 15 cm, 24 cm, 28 cm
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C. 20 cm, 48 cm, 52 cm
D. 25 cm, 50 cm, 75 cm
5. The legs of a right triangle measure 10 m and 24 m. What is the
length of the third side of the right triangle?
A. 17 m
B. 22 m
C. 26 m
D. 34 m
6. In triangle WXY below, XY measures 16 cm, YZ measures 4 cm,
and WX measures 13 cm.
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What is the area of triangle WXY?
A. 40 cm2
B. 60 cm2
C. 80 cm2
D. 100 cm2
7. Which set of measurements could be the side lengths of a right
triangle?
A. {10 cm, 12 cm, 16 cm}
B. {20 cm, 21 cm, 29 cm}
C. {30 cm, 32 cm, 42 cm}
D. {40 cm, 42 cm, 56 cm}
8. A right triangle is shown below.
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What is the measure of the missing side, x?
A. 12 in.
B. 18 in.
C. 26 in.
9. What is the length of the hypotenuse in the right triangle below?
A. 8 in.
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B. 15 in.
C. 20 in.
D. 21 in.
10. A right triangle is shown below.
What is the length of the hypotenuse of the triangle?
A. 41 cm
B. 31 cm
C. 25 cm
11. What is the length of the hypotenuse, x, in the right triangle
below?
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A. 46 cm
B. 50 cm
C. 62 cm
12. What is the distance between the points (3, 5) and (–1, 2)?
A. 3 units
B. 4 units
C. 5 units
D. 25 units
13. What is the distance between the points (–6, –7) and (6, –2)?
A. 5 units
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B. 8 units
C. 12 units
D. 13 units
14. Triangle XYZ has vertices located at X(–5, 0), Y(–5, 5), and Z(3,
5). What is the approximate length of segment XZ?
A. 3.6 units
B. 5.0 units
C. 8.0 units
D. 9.4 units
15. Point M is located at
on the coordinate plane. Another point is located 2 units down and
3 units to the right.
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What is the distance between the 2 points?
A.
B. 5
C.
D. 13
16. Triangle JKL is shown below.
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What is the approximate length of line segment JL?
A. 10 units
B. 9 units
C. 8 units
17. A diameter of a circle extends from the point (6, 12) to the point
(1, 8). What is the approximate length of the radius of the
circle?
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A. 3.2 units
B. 4.0 units
C. 5.0 units
D. 6.4 units
18. Triangle JKL has vertices at J(–3, –4), K(–1, –4), and L(–3, 2). What
is the approximate length of line segment KL?
A. 5.7 units
B. 6.3 units
C. 8.0 units
19. Point R is located at (–3, 3), and point T is located at (1, –2).
What is the approximate distance between point R and point T?
A. 5.7 units
B. 6.4 units
C. 9.0 units
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D. 41.0 units
20. What is the distance between the points (–8, –2) and (4, 3)?
A. 12 units
B. 13 units
C. 14 units
D. 15 units
21. On a coordinate graph, what is the length of a line segment with
endpoints at (0, 0) and (3, 4)?
A. 3 units
B. 4 units
C. 5 units
D. 7 units
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