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Pythagorean Theorem and Similar Figures

Total questions: 50

Worksheet time: 4hrs 8mins

Name
Class
Date
1.
What is the length of the missing side?
a)
17
b)
13
c)
10.9
d)
169
2.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
3.
Can side lengths 3, 4, and 5 form a right triangle?
a)
yes
b)
no
4.
Is this triangle a right triangle?
a)
yes
b)
no
5.
Do the sides 15, 30 and 34 make a right triangle?
a)
yes
b)
no
6.
If the legs of a right triangle are 16 and 63, what is the length of the hypotenuse?
a)
79
b)
2112.5
c)
65
d)
61
7.
If the area of a square is 81, what is the length of the side?
a)
9
b)
-9
c)
20.25
8.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
9.

Define a Pythagorean Triple

a)

When all three sides of a right triangle are whole numbers

b)

Three sides are equal lengths

c)

Two sides are equal in length

d)

When you add every number together to find the missing length

10.

If the diagonal is 40 inches, what does this mean?

a)

c = 40

b)

b = 40

c)

a = 40

d)

a2 + b2 = 40

11.
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
12.

What type of triangle do these measurements make: 6, 8, 12

a)

acute

b)

right

c)

obtuse

d)

not a triangle

13.

What type of triangle do these measurements make: 6, 9, 17

a)

acute

b)

right

c)

obtuse

d)

not a triangle

14.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
15.
Which statement is the most accurate about the converse of the Pythagorean Theorem
a)
The converse is used to determine an unknown side length.
b)
The converse is only useful with right triangles
c)
The converse is used to determine if a triangle is or is not a right triangle
d)
The converse always works out that a2+b2=c2
16.
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
17.
Is the triangle formed from Washington D.C. to Cincinnati to Tallahassee right, acute, or obtuse?
a)
right
b)
acute
c)
obtuse
18.
7, 20, 24, 25
Of these 4 numbers, 3 will form a right triangle. Which number is not used?
a)
7
b)
20
c)
24
d)
25
19.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
20.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
21.
What is the formula for Pythagorean theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
22.
What are the 2 shorter sides of a right triangle called?
a)
Hypotenuse
b)
Pythagorean Theorem
c)
Legs
d)
Right triangle
23.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
24.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
25.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
26.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
27.

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

a)

True

b)

False

28.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

29.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
30.
Solve for x.
a)
100
b)
143
c)
4
d)
95
31.
Find the missing measure. 
a)
12
b)
14
c)
196
d)
168
32.
Click to see image.
a)
A
b)
B
c)
C
d)
D
33.
Click to see image.
a)
A
b)
B
c)
C
d)
D
34.
Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?
a)
3 ft
b)
7.5 ft
c)
1.2 ft.
d)
0.8 ft.
35.
Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
36.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
37.
Triangle HIJ is similar to triangle STR.  What is the perimeter of triangle STR?
a)
32
b)
37
c)
40
d)
42
38.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
39.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
40.
Angles in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
41.

Who is this?

a)

Lil Skies

b)

21 Savage

c)

Nba Youngboy

d)

Kodak Black

42.

What are his names?

a)

I don't know

b)

Travi$ Scott

c)

La Flame

d)

Travis Scott

43.

Who is this

a)

Ronald regan

b)

Barack o bama

c)

nancy regan

d)

juice wrkd

44.
a)
nemo
b)
marlin
45.
Who is this?
a)
Pickles
b)
Annabelle
c)
Angelica
d)
Tommy
46.
Who is this
a)
leonardo
b)
april
c)
raphel
d)
mikey
47.

what time does the truckmeet begin

a)

11

b)

9

c)

6

d)

7

48.

school or trokiando cuh

a)

trokiando cuh

b)

school

49.

What is Ms. Myers current favorite song?

a)

Goin’ Broke by Dee Watkins

b)

Homecoming by Lil Uzi Vert

c)

GATTI by JACKBOYS, Pop Smoke, and Travis Scott

d)

Orange Soda by Baby Keem

50.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft

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