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Unit 8 Similarity

Total questions: 12

Worksheet time: 40mins

Name
Class
Date
1.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
2.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
3.

Find the missing side using proportions.

a)

51

b)

45

c)

74

d)

50

4.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
5.

Which of the following is a necessary condition for two triangles to be similar?

a)

Corresponding angles are congruent

b)

Corresponding sides are congruent

c)

They have the same perimeter

d)

They have the same area

6.

If two polygons are similar, which of the following must be true?

a)

They have the same number of sides

b)

They have the same side lengths

c)

They have the same area

d)

They are congruent

7.

In similar polygons, corresponding angles are always:

a)

Supplementary

b)

Complementary

c)

Congruent

d)

Acute

8.

Which of the following is not a criterion for triangle similarity?

a)

AA (Angle-Angle)

b)

SAS (Side-Angle-Side)

c)

SSS (Side-Side-Side)

d)

SSA (Side-Side-Angle)

9.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
10.

State if the triangles in each pair are similar.  If so, state how you know they are similar and complete the similarity statement.

a)

similar; SSS similarity; ΔSUR\Delta SUR

b)

similar; SSS similarity; ΔURS\Delta URS

c)

similar; AA similarity; ΔURS\Delta URS

d)

not similar

11.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SAS similarity; ΔCBD\Delta CBD

b)

similar; AA similarity; ΔBCD\Delta BCD

c)

not similar

d)

similar; AA similarity; ΔCBD\Delta CBD

12.
If two polygons are similar, then the corresponding side lengths are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional