Free Printable Similarity Review

1.

Given: $\Delta DCB\sim\Delta EAB$ . Complete the following proportion: $\frac{DB}{EB}=\frac{?}{EA}$

a)

BC

b)

DC

c)

DB

d)

AB

2.

Given $\frac{AB}{DE}=\frac{1}{3}$ , what condition would prove that ABC ~ DEF?

a)

$\frac{AC}{DF}=\frac{1}{3}$

b)

$\frac{BC}{EF}=\frac{1}{3}$

c)

$\frac{AC}{DF}=3$

d)

$\frac{BC}{EF}=3$

3.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

4.

Given AE || CD, which pairs of angles are congruent because they are alternate interior angles?

a)

ABE and CBD

b)

EAD and DCE

c)

AEC and DCE

d)

ADC and ECD

5.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Not Similar

b)

Similar by SSS and by SAS

c)

Similar by AA

d)

Similar by SAS

6.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by SSS

b)

Similar by AA

c)

Similar by SAS

d)

Not Similar

7.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

8.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

9.

Select two relationships that together would prove ABC ~ DEF by the side-angle-side postulate.

a)

$\frac{AB}{DE}=\frac{BC}{EF}$

b)

$\frac{AB}{DE}=\frac{BC}{DF}$

c)

$\angle C\ \cong\ \angle F$

d)

$\angle B\ \cong\ \angle E$

10.

Solve for f.

a)

6

b)

4

c)

3

d)

8

11.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Not Similar

b)

Similar by SAS

c)

Similar by SSS

d)

Similar by AA

12.

Given that Triangle BAC is similar to Triangle EDF. Find the angle EFD.

a)

45

b)

22

c)

113

d)

18

13.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

14.

Select two relationships that together would prove ABD ~ CAD by the side-angle-side postulate.

a)

$\frac{AB}{CA}=\frac{BD}{AD}$

b)

$\frac{AB}{CA}=\frac{AD}{CD}$

c)

$\angle C\ \cong\ \angle A$

d)

$\angle ABD\ \cong\ \angle CAD$

15.

Which figure is NOT similar to the other three?

a)

b)

c)

d)

16.

What reason can be given for line 2?

a)

Corresponding Angles

b)

Reflexive Property

c)

Alternate Interior Angles

17.

What reasons can be given to support line 2?

a)

Corresponding Angles

b)

Vertical Angles

c)

Alternate Interior Angles

18.

What reason can be given for line 2?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Vertical Angles

Similarity Review

Total questions: 18

Worksheet time: 2hrs 30mins

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