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WorksheetsPythagorean therm Bye Steven Cornelius
Total questions: 22
Worksheet time: 26mins
Name
Class
Date
1.
A right triangle is formed by squares made up of identical square blocks as shown.
Which statement BEST describes what the figure shows?
Which statement BEST describes what the figure shows?
a)
Three plus four equals five.
b)
Three plus four equals five squared.
c)
Three squared plus four squared equals five.
d)
Three squared plus four squared equals five squared.
2.
Landon draws a right triangle. He then creates three squares, using each side of the triangle as shown.
Which method could Landon use to prove the Pythagorean Theorem?
Which method could Landon use to prove the Pythagorean Theorem?
a)
prove that the area of the two smaller squares combined is equal to the area of the larger square
b)
prove that the perimeter of the two smaller squares combined is equal to the perimeter of the larger square
c)
prove that the area of the two smaller squares, combined with the area of the triangle, is equal to the area of the larger square
d)
prove that the perimeter of the two smaller squares, combined with the perimeter of the triangle, is equal to the perimeter of the larger square
3.
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}
4.
If the two legs of a right triangle measure 5 inches and 9 inches, what is the length of the hypotenuse?
a)
7 inches
b)
√106 inches
c)
√196 inches
d)
106 inches
5.
Amy’s television screen is in the shape of a rectangle. The height of the television screen is 24 inches and the width is 55 inches. What is the approximate diagonal measurement of the television screen?
a)
50 inches
b)
60 inches
c)
79 inches
6.
Figure PQRS below is made up of a rectangle and two right triangles.
What is the perimeter of figure PQRS?
What is the perimeter of figure PQRS?
a)
78 cm
b)
66 cm
c)
62 cm
d)
45 cm
7.
What is the diagonal measurement of the television screen shown in the figure Above?
a)
35 inches
b)
50 inches
c)
70 inches
d)
1,200 inches
8.
Heidi helped build a slide at the local park. The ladder is 4 feet high, and the slide is 5 feet long. How far is the bottom of the ladder from the bottom end of the slide?
a)
3 ft.
b)
4 ft.
c)
5 ft.
d)
6 ft.
9.
A 90-foot wire runs from the top of a cell phone tower to the ground 63 feet from the base of the tower.Approximately how tall is the cell phone tower?
a)
27 feet
b)
64 feet
c)
77 feet
d)
110 feet
10.
A baseball diamond is a square with sides of 90 feet.
If a player is standing on second base, approximately how far would he have to throw the ball to reach home plate?
If a player is standing on second base, approximately how far would he have to throw the ball to reach home plate?
a)
127 feet
b)
180 feet
c)
217 feet
d)
360 feet
11.
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 inches
b)
41 inches
c)
42 inches
d)
61 inches
12.
If is a right triangle xyz, what is the length, in units, of yz
a)
8
b)
16
c)
√32
d)
√544
13.
A right triangle is shown below.
What is the measure of the missing side, x?
What is the measure of the missing side, x?
a)
4
b)
8
c)
12
14.
Which of the following could be the lengths of the sides of a right triangle?
a)
5.1 cm, 3.4 cm, 8.5 cm
b)
5.1 cm, 6.8 cm, 8.5 cm
c)
5.1 cm, 8.5 cm, 8.5 cm
d)
5.1 cm, 6.8 cm, 10.2 cm
15.
Quadrilateral ABCD is graphed Above.
Which line segment has a length of exactly 17 units?
Which line segment has a length of exactly 17 units?
a)
A,B
b)
B,C
c)
C,D
d)
D,A
16.
Use rectangle PQRS to answer the question. Which measure is closest to the length of diagonal QS?
a)
5.7 unis
b)
10.6 units
c)
11.4 units
d)
16.0
17.
What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?
a)
√5
b)
√13
c)
√15
d)
√137
18.
Triangle ABC is a right triangle.
What is the length of AC
What is the length of AC
a)
√20
b)
√21
c)
√40
d)
√58
19.
Triangle ABC is shown on the grid.
What is the length of C,B in units?
What is the length of C,B in units?
a)
√29
b)
√40
c)
√65
d)
√72
20.
Triangle RST has vertices R(–1, 2), S(5, 0), and T(–3, –2). What is the approximate length of line segment ST?
a)
8.2 units
b)
7.4 units
c)
6.3 units
d)
5.7 units
21.
What is the approximate distance between the points (–1, 2) and (7, 6)?
a)
8 units
b)
9 units
c)
12 units
22.
Point A and Point B are graphed on the grid Above.
What is the distance between Point A and Point B, in units?
What is the distance between Point A and Point B, in units?
a)
8 units
b)
10 units
c)
11 units
d)
14 units
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