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Pythagorean Theorem Review

Total questions: 18

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
2.

Kelsey's school can be represented by Point A (9,9). Point A can be translated 6 units left and 5 units down to create A', the location of Kelsey's house. What is the diagonal distance between Point A and Point A' on the grid?

a)

3.3

b)

12.7

c)

5

d)

7.8

3.

The model below is used to show the relationship between the side lengths of a right tringle. Which describes the square that could be connected to side b of the triangle to correctly complete the model?

a)

A square with side lengths of 400 feet.

b)

A square with side lengths of 100 feet.

c)

A square with side lengths of 50 feet.

d)

A square with side lengths of 20 feet.

4.

Neil wants to join three pieces of metal to form a right triangle. Which of the following lengths could he use?

a)

4,4 and 8 feet

b)

7.5,10 and 12.5 feet

c)

9,11 and 23 feet

d)

6,12.5 and 96 feet

5.

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?

a)

725 feet

b)

306 feet

c)

27 feet

d)

11 feet

6.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

c)

45

d)

3

7.
Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
a)
5
b)
7
c)
10
d)
12
8.

Find side "h" (wall height). Round to the nearest foot.

a)

15

b)

35

c)

36

d)

61

9.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
10.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
(-3, -12)
d)
(-6.5, -8.5)
11.

What is the perimeter of a right triangle if the hypotenuse is 15 centimeters and one of the legs is 9 centimeters?

a)

36

b)

39

c)

12

d)

17.5

12.
What is the approximate width of the base?
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
13.
What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.
a)
2 units
b)
6 units
c)
100 units
d)
32 units
14.
Doug and his dog Burt are deciding which way they will walk to a friend's house. How much longer is their walk if they take the blue path (L shape) than if they take the pink path (straight path)?
a)
8.06 blocks
b)
11 blocks
c)
19.06 blocks
d)
2.94 blocks
15.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
16.

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

a)

15.6 in.

b)

6.6 in.

c)

44 in.

d)

16 in.

17.

The composite figure shown was created using a cone and a hemisphere (half-sphere) that share the same base. Determine the radius and diameter of the composite figure. Round to the nearest tenth.

a)

radius: 24

diameter: 48

b)

radius: 12

diameter: 24

c)

radius: 6

diameter: 12

d)

radius: 27.9

diameter: 55.8

18.

Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)

a)

10.9

b)

119\sqrt{119}

c)

13

d)

169