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Similar Triangles, Polygons, and Dilations

Total questions: 20

Worksheet time: 5hrs 31mins

Name
Class
Date
1.

What are the coordinates of the pre-image B if the image is located at B' (-8, 4) after a dilation with a center at the origin with a scale factor of 2.

a)

(0, 0)

b)

(-4,2)

c)

(-16,8)

d)

unable to determine

2.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
3.

The two polygons are similar. If 6 corresponds to 4, what is the value of x?

a)

1

b)

1.8

c)

2

d)

3.5

4.

Find the missing side if you know the figures are similar and have the same orientation.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

5.

What is the scale factor from MNOP to ABCD?

a)

2:3

b)

1:2

c)

3:2

d)

2:1

6.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
7.

State the postulate that proves these triangles are similar and complete the similarity statement.

a)

SSS

b)

SAS

c)

ΔFGH

d)

ΔGFH

8.

State the postulate that proves these triangles are similar and complete the similarity statement.

a)

AA, ΔTVU

b)

AA, ΔTUV

c)

SAS, ΔVUT

d)

Not similar

9.

State the postulate that proves these triangles are similar and complete the similarity statement.

a)

SSS, ΔVML

b)

SSS, ΔVLM

c)

SAS, ΔVML

d)

SAS, ΔVLM

10.
Are the triangles similar?
a)
Yes
b)
No
11.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
12.

Triangle ABC will be dilated by a scale factor of 1/2 about the point (-4, -1). What will the coordinate of B' be?

a)

(0, 1.5))

b)

(-2, 2)

c)

(-2, 1)

d)

(-6, -3)

13.

Which is the center point is the center of dilation?

a)

A

b)

B

c)

C

d)

D

14.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

15.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
16.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

17.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
18.

Solve:

a)

3

b)

4

c)

-7

d)

15

19.

Solve:

a)

6

b)

7

c)

-8

d)

-5

20.

Solve:

a)

-4

b)

10

c)

3

d)

-4