Quiz about Pythagorean Theorem Distance

Question 1

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?

Accepted Answer

40 miles

Answer

17 miles

Answer

42 miles

Answer

37 miles

Question 2

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 3

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

Which set of side lengths does not form a right triangle?

Accepted Answer

14, 15, 29

Answer

38, 80, 90

Answer

16, 63, 65

Answer

36, 77, 85

Question 5

Do the segment lengths 9, 12, and 15 form a right triangle?

Accepted Answer

Yes

Answer

No

Question 6

Do these 3 side lengths form a right triangle?
13, 80, and 81?

Accepted Answer

no

Answer

yes

Question 7

Is this a Right Triangle?

Accepted Answer

No

Answer

Yes

Question 8

A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?

Accepted Answer

10

Answer

25

Answer

175

Answer

625

Question 9

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Answer

28 feet

Question 10

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

Accepted Answer

13.6 in

Answer

7.5 in

Answer

12.4 in

Answer

14.3 in

Question 11

_{^{Find the missing side}}

Accepted Answer

20

Answer

29.2

Answer

400

Answer

10

Question 12

_{^{Find the missing side}}

Accepted Answer

72

Answer

48

Answer

108

Answer

83.6

Question 13

_{^{Find the missing side}}

Accepted Answer

17.66

Answer

37

Answer

6

Answer

312

Question 14

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

3

Question 15

Find the length of the missing side.

Accepted Answer

80 in.

Answer

20 in.

Answer

68 in.

Answer

16 in.

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