Free Printable Math 8 - Pythagorean Theorem

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

What are some keywords or phrases in a word problem that tell you to use the pythagorean theorem? Check all that apply.

a)

Order the real numbers from least to greatest

b)

A rectangle with a diagonal

c)

A ladder leaning against a wall

d)

Find the corresponding angles

e)

When you are asked to find the distance

3.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

4.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

e)

cube root

5.

What is the first step in finding the missing side length of the right triangle?

a)

$8+15\ =\$

b)

$8^2+15^2=$

c)

$15-8=$

d)

$15^2-8^2=$

6.

What is the second step in finding the missing side length of the right triangle?

a)

$8^2+15^2\ =\ 289$ Now take square root of 289 to find the length of the hypotenuse.

b)

$8^2+15^2=289$ You are done. The missing side is 289.

c)

$15-8=7$ You are done. The missing side is 7.

d)

$15^2-8^2=161$ Now take square root of 161 to find the length of the hypotenuse.

7.

What is the first step in finding the missing side length of the right triangle?

a)

$9+41\ =\$

b)

$9^2+41^2=$

c)

$41-9=$

d)

$41^2-9^2=$

8.

What is the second step in finding the missing side length of the right triangle?

a)

$9+41\ =\ 50$ You are done. 50 in the missing side length.

b)

$9^2+41^2=1762$ Take the square root of 1762 to find the missing side length.

c)

$41-9=32$ You are done. 32 is the missing side length.

d)

$41^2-9^2=1600$ Take the square root of 1600 to find the missing side length.

9.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

10.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

11.

If the area of square 1 is 500 cm²

and the area of square 2 is 290 cm²

then what is the area of square 3?

a)

210 cm²

b)

14.5 cm²

c)

790 cm²

d)

320 cm²

e)

180 cm²

12.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

e)

68 cm

13.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

e)

23 miles

14.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

Math 8 - Pythagorean Theorem

Total questions: 14

Worksheet time: 50mins

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