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Identifying Similar Figures

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

2.

If ΔQRS is similar to ΔNOP, which angle of ΔNOP corresponds with angle R?

a)

< N

b)

< O

c)

< P

d)

< S

3.

ΔHIJ ~ ΔKLM
Which of the following statements is not true?

a)

< I corresponds to < L

b)

Segment HI corresponds to Segment LK

c)

Segment LM corresponds to Segment IJ

d)

< H corresponds to < K

4.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

5.

Are the following similar? Why or why not?

a)

Yes. All pairs of corresponding angles are congruent and all corresponding sides are proportional.

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

d)

No, the corresponding sides are not proportional.

6.
a)
A
b)
B
c)
C
d)
D
7.

Determine whether the polygons are similar.

a)

Similar 

b)

Not Similar

8.

Determine whether the polygons are similar.

a)

Similar

b)

Not similar

9.

Determine whether the polygons are similar.

a)

Similar

b)

Not Similar

10.

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.

11.

Determine whether the polygons are similar.

a)

Similar

b)

Not Similar

12.

Determine whether the polygons are similar.

a)

similar

b)

not similar

13.

Determine whether the polygons are similar.

a)

Similar

b)

Not similar

14.

Determine whether the polygons are similar.

a)

Similar

b)

Not similar

15.

Determine whether the polygons are similar.

a)

Similar

b)

Not similar