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Math 8-Pythag Review

Total questions: 38

Worksheet time: 2hrs 57mins

Name
Class
Date
1.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
2.

The area of the 'a' square plus the area of the 'b' square will perfectly fill the c square with nothing left over.

a)

True

b)

False

3.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

4.
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is the diagonal distance across the screen. If the screen measures 15 inches in height, what is the actual width of the screen to the nearest inch? 
a)
22 in
b)
23 in
c)
24 in
d)
25 in
5.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

7.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

8.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

9.

The two shortest sides of a right triangle are called___________.

a)

arms.

b)

hypotenuses.

c)

legs.

d)

rays.

10.

The longest side of a right triangle.

a)

Leg 1

b)

Leg 2

c)

Perimeter

d)

Hypotenuse

11.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
12.
Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.
a)
No, because 10+11 does not equal 13
b)
No, because 100+121 does not equal 169
c)
Yes, because there is a small side, medium side and long side
d)
Yes, because a triangle has 3 sides
13.

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?

Which diagram best represents the problem?

a)
b)
c)
d)
14.

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?

Which equation could be used to solve the problem?

a)

252+102=c225^2+10^2=c^2

b)

252+b2=10225^2+b^2=10^2

c)

a2+102=252a^2+10^2=25^2

d)

102+b2=25210^2+b^2=25^2

15.

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

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

16.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
17.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
18.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
19.
a2 + b2 = c2
a = 9 b = 40
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
20.
a2 + b2 = c2
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
21.
Do these side lengths form a right triangle?
12, 20, 16
a)
Yes
b)
No
22.
Find the value of x.
a)
15
b)
16
c)
18
d)
17
23.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
24.
What is Pythagorean Theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
25.
Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
a)
5
b)
7
c)
10
d)
12
26.
Casey travels west from her house to the bank and then 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
27.
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.
28.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
29.
Using the Pythagorean Theorem, find the area of the missing square (seen in picture)
a)
30 cm2
b)
15 cm2
c)
315 cm2
d)
45 cm2
30.
Using the Pythagorean Theorem, find the area of the missing square (seen in picture)
a)
75 cm2
b)
105 cm2
c)
135 cm2
d)
30 cm2
31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a2 + b2 = c2

37.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

38.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

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