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WorksheetsPythagorean Theorem Assessment
Total questions: 14
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem. Round to the nearest tenth. You will need to do your drawing on graph paper.
Points:
(-7,3) and (-2,9)
Points:
(-7,3) and (-2,9)
a)
9 units
b)
8.6 units
c)
4.9 units
d)
4 units
2.
Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.
a)
4.7 centimeters
b)
9.4 centimeters
c)
11 centimeters
d)
15.6 centimeters
3.
Brianna is planting a sapling. The garden center recommended she stabilize the sapling with guy wires for the first
a)
6.6 feet
b)
7.8 feet
c)
12.2 feet
d)
15.6 feet
4.
What is the length of the unknown leg to at the nearest tenth?
a)
2.4
b)
5.1
c)
12.5
d)
18.9
5.
Determine the unknown side for the triangle shown. Round to the nearest tenth if needed.
a)
23.4
b)
34
c)
1156
d)
23.3
6.
The side lengths of a right triangle are 24, 45 and 51. Which side is the hypotenuse?
a)
51
b)
24
c)
45
d)
Can't determine
7.
Determine the unknown side for the triangle shown. Round to the nearest tenth if needed.
a)
29.7
b)
26.2
c)
26.1
8.
Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem. Round to the nearest tenth. You will need to do your drawing on graph paper.
Points:
(-4,2) and (4,-6)
Points:
(-4,2) and (4,-6)
a)
11 units
b)
0 units
c)
11.3 units
9.
Gary is building braces for a shelf. He will attach each brace to the front edge of the 6-inch shelf and 3 inches down the wall. If he uses 3 braces for the shelf, how much bracing, in inches, will he need? Round your answer to the nearest tenth of an inch.
a)
6.7 inches
b)
13.4 inches
c)
20.1 inches
d)
67.5 inches
10.
What is the length of the unknown side?
a)
14 units
14 units
14 units
b)
20 units
c)
28 units
d)
200 units
11.
Is a triangle with the sides of 4, 6 and 7 is a right triangle.
a)
Yes
b)
No
12.
Jorge is setting up his tent. He is using two nylon ropes to pull the tent taut and stabilize it at each end. If the tent is 5 feet tall, and Jorge stakes the ropes into the ground 3 feet from the tent, what is the total length of nylon rope he will use, to the nearest tenth of a foot?
a)
-4 feet
b)
4 feet
c)
5.8 feet
d)
6
13.
A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
a)
13.4 feet
b)
14.6 feet
c)
16.5 feet
d)
18.0 feet
14.
What is the length of the diagonal of the rectangular solid shown?
a)
5 cm
b)
13 cm
c)
6cm
d)
12.3
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