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MiniQuiz: Similarity

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Are they similar?

a)

Yes, the angles are congruent and the side lengths are proportional.

b)

No, the angles are congruent, but the side lengths are not proportional.

c)

No, the side lengths are proportional, but the angles are not congruent.

d)

No, the side lengths are not proportional, nor are the angles congruent.

2.

Are they similar?

a)

Yes, the angles are congruent and the side lengths are proportional.

b)

No, the angles are congruent, but the side lengths are not proportional.

c)

No, the side lengths are proportional, but the angles are not congruent.

d)

No, the side lengths are not proportional, nor are the angles congruent.

3.

Using a proportion, find the height of the tree.

a)

0.0625 ft.

b)

24 ft

c)

16 ft.

d)

0.25 ft

e)

20 ft

4.

If two triangles are similar with a scale factor of 2, then... (select all the TRUE statements).

a)

the matching sides are congruent.

b)

the matching angles are congruent.

c)

the matching sides are all doubled

d)

the matching angles are all doubled.

5.

What is the scale factor from ΔHGF to ΔABC?

a)

1/9

b)

1/6

c)

1/4

d)

1/7

6.

Triangle ABC and XYZ are similar, ABC is the image and XYZ is the preimage original shape. What is the scale factor used to enlarge the smaller triangle?

a)

2

b)

12\frac{1}{2}

c)

25\frac{2}{5}

d)

52\frac{5}{2}

7.

Triangle ABC and XYZ are similar, find the value of x.

a)

25

b)

30

c)

16

d)

50

e)

28

8.

ΔLKM~ΔCDB. Find the missing LM.

a)

x = 63

b)

x = 38.1

c)

x = 11.6

d)

x = 55

9.

Are the triangles similar?

a)

Yes, by AA~

b)

No, the angles are not all matching.

10.

Are the triangles similar?

a)

Yes, by AA~

b)

No, the angles are not all matching.

11.

Determine if the triangles are similar. Justify.

a)

Yes, by SSS~. Scale Factor is 2:1

b)

Yes, by SAS~. Scale Factor is 1:2.

c)

Yes, by SAS~. Scale Factor is 3:1.

d)

No, not similar.

e)

Yes, by SSS~. Scale Factor is 1:3

12.

Determine whether the triangles are similar or not similar. Justify.

a)

Similar by AA~

b)

Similar by SSS~

c)

Similar by SAS~

d)

Not similar

13.

Determine if the triangles are similar. Justify.

a)

Yes, by SSS~.

b)

Yes, by SAS~.

c)

Yes, by AA~

d)

No, not similar.

14.

Select the TRUE statements.

a)

ALL squares are similar.

b)

ALL rectangles are similar.

c)

ALL triangles are similar.

d)

ALL circles are similar.

15.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24