Quiz about 8th Math 5.2.1 Pythagorean Theorem

Question 1

What letter(s) represents the hypotenuse?

Accepted Answer

c

Answer

a

Answer

b

Question 2

Which choice(s) represents the legs?

Accepted Answer

a

Accepted Answer

b

Answer

c

Question 3

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

Accepted Answer

Take the square root of both sides

Answer

Divide both sides by 2

Answer

25 IS the final answer

Question 4

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

3

Question 5

Find the missing side.

Accepted Answer

17

Answer

18

Answer

16

Answer

19

Question 6

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 7

What side(s) will always be the longest on a right triangle?

Accepted Answer

The Hypotenuse

Answer

Leg A

Answer

Leg B

Answer

The Right Angle

Question 8

What side(s) will always be the shortest on a right triangle?

Select all that apply

Accepted Answer

Leg A

Accepted Answer

Leg B

Answer

The Hypotenuse

Answer

The Right Angle

Question 9

The legs form what type of angle?

Accepted Answer

Right

Answer

Acute

Answer

Obtuse

Answer

Reflex

Question 10

Side c on a right triangle is ALWAYS the longest.

Accepted Answer

true

Answer

false

Question 11

Which side is the hypotenuse?

Accepted Answer

14

Answer

9

Answer

x

Question 12

Which sides are the legs of the triangle?

Accepted Answer

9 and 12

Answer

9 and 15

Answer

12 and 15

Answer

15

Question 13

Determine the length of the missing side.

Accepted Answer

17

Answer

7

Answer

8

Answer

23

Question 14

Find missing side

Accepted Answer

$$2\sqrt{5}$$

Answer

$$\sqrt{20}$$

Answer

$$2\sqrt{3}$$

Question 15

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

Accepted Answer

6.7

Answer

6

Answer

3

Answer

Not enough information

Question 16

Find the length of the missing side

Accepted Answer

13

Answer

17

Answer

15

Answer

22

Question 17

What is the opposite of squaring a number

Accepted Answer

square root

Answer

divide

Answer

multiply

Answer

fractions

Question 18

The Pythagorean is used to find what

Accepted Answer

missing sides only

Answer

missing angles only

Answer

either missing sides or angles

Question 19

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

Accepted Answer

10 blocks

Answer

14 blocks

Answer

12 blocks

Answer

8.5 blocks

Question 20

What is the diagonal length of the iPad?

Accepted Answer

9.2 in

Answer

11 in

Answer

13 in

Answer

9.6 in

Question 21

Which equation is modeled by the picture shown?

Accepted Answer

3²+4²=5²

Answer

3²+5²=4²

Answer

5²+4²=3²

Answer

9²+16²=25²

Question 22

Calculate the length of the hypotenuse of each given triangle. Round to the nearest hundredth, if necessary.

Accepted Answer

30

Answer

50

Answer

2.5

Answer

15

Question 23

What is side c called?

Accepted Answer

Hypotenuse

Answer

Leg

Answer

$$90\degree\ $$ angle

Question 24

What is side a and b called?

Accepted Answer

Legs

Answer

Hypotenuse

Answer

$$90\degree\ $$ angle

Question 25

Use the Pythagorean Theorem to solve for x.

Accepted Answer

$$\sqrt{1213}=34.8$$

Answer

$$\sqrt{455}=21.3$$

Answer

$$\sqrt{87}=9.3$$

Answer

$$\sqrt{49}=7$$

Question 26

The Pythagorean Theorem only works for ________ triangles.

Accepted Answer

Right

Answer

Scalene

Answer

Obtuse

Answer

Equilateral

Question 27

The side that is missing is

Accepted Answer

the hypotenuse

Answer

a leg

Answer

Nothing

Answer

a right angle

Question 28

The side that is missing is

Accepted Answer

a leg

Answer

the hypotenuse

Answer

We aren't missing a side

Answer

the right angle

Question 29

Find the length of the missing side

Accepted Answer

$$\sqrt{41}$$

Answer

3

Answer

41

Answer

9

Question 30

How long is the zip line?

Accepted Answer

$$\sqrt{2900}$$

Answer

$$\sqrt{70}$$

Answer

70

Answer

2900

Question 31

Which equation will help you find the missing side?

Accepted Answer

$$4^2+10^2=c^2$$

Answer

$$10^2-4^2=c^2$$

Answer

$$c^2=100+10^2$$

Answer

$$c^2+4^2=10^2$$

Question 32

A rectangular pool at Andy's gym measures 25 m by 50 m. How far would Andy swim if he swims across the pool diagonally?

Accepted Answer

55.9 m

Answer

5 m

Answer

8.7 m

Answer

43.3 m

Question 33

Side c on a right triangle is ALWAYS the longest.

Accepted Answer

true

Answer

false

Question 34

Which side is the hypotenuse?

Accepted Answer

14

Answer

9

Answer

x

Question 35

Which sides are the legs of the triangle?

Accepted Answer

9 and 12

Answer

9 and 15

Answer

12 and 15

Answer

15

Question 36

Find the value of x.

Accepted Answer

10

Answer

7

Answer

8

Answer

9

Question 37

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

Accepted Answer

Take the square root of both sides

Answer

Divide both sides by 2

Answer

25 IS the final answer

Question 38

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

3

Question 39

What side(s) will always be the shortest on a right triangle?

Select all that apply

Accepted Answer

Leg A

Accepted Answer

Leg B

Answer

The Hypotenuse

Answer

The Right Angle

Question 40

Side c on a right triangle is ALWAYS the longest.

Accepted Answer

true

Answer

false

Question 41

Find the length of the missing side

Accepted Answer

13

Answer

17

Answer

15

Answer

22

Question 42

Which equation is modeled by the picture shown?

Accepted Answer

3²+4²=5²

Answer

3²+5²=4²

Answer

5²+4²=3²

Answer

9²+16²=25²

Question 43

Calculate the length of the hypotenuse of each given triangle. Round to the nearest hundredth, if necessary.

Accepted Answer

30

Answer

50

Answer

2.5

Answer

15

Question 44

Find the length of the missing side.

Accepted Answer

13 cm

Answer

17 cm

Answer

22 cm

Answer

15 cm

Question 45

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 46

The Pythagorean Theorem is
a² + b³= c⁴

Accepted Answer

false

Answer

true

Question 47

The Pythagorean Theorem is
a² + b²+ c²

Accepted Answer

false

Answer

true

Question 48

you ADD a² and b² then take the square root to find c on a right triangle.

Accepted Answer

true

Answer

false

Question 49

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

32 miles

Answer

37 miles

Question 50

If a triangle has a side a=5 and b=12, what is c?

Accepted Answer

13

Answer

10

Answer

17

Answer

169

Question 51

If a boat sailed six miles north and eight miles east, how far away is it from its original location?  (find d)

Accepted Answer

10 miles

Answer

100 miles

Answer

14 miles

Answer

2 miles

Question 52

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

Accepted Answer

15.6

Answer

6.6

Answer

44

Answer

16

8th Math 5.2.1 Pythagorean Theorem

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