Pythagorean Theorem: Algebra and Geometry in Action

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet on the wall. Use the Pythagorean theorem to find the length of the ladder.
10 feet
14 feet
12 feet
8 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?
10.50 meters
9.00 meters
12.00 meters
11.66 meters
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one leg measuring 9 cm and the other leg measuring x cm. If the hypotenuse is 15 cm, find the value of x using the Pythagorean theorem.
16 cm
10 cm
14 cm
12 cm
Tags
CCSS.8.G.B.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 12-foot tall tree casts a shadow that is 9 feet long. If you were to walk directly from the top of the tree to the end of the shadow, how far would you walk? Use the Pythagorean theorem to find the distance.
18 feet
9 feet
12 feet
15 feet
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular park has one side measuring 5 meters and another side measuring 12 meters. If the park is a right triangle, what is the length of the third side?
7 meters
9 meters
15 meters
10.91 meters
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has legs of lengths 7 cm and x cm. If the hypotenuse is 10 cm, find the value of x using the Pythagorean theorem.
5 cm
8 cm
12 cm
√51 or approximately 7.14 cm
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite is flying at a height of 30 meters. If the string of the kite is 50 meters long, how far is the kite from the point on the ground directly below it?
20 meters
60 meters
30 meters
40 meters
Tags
CCSS.8.G.B.8
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