Free Printable Geometry Qtr 4, Quiz #6 - Similarity End of Year Review

1.

Which of the following transformations produces figures that are similar but not congruent?

a)

Dilation

b)

Rotation

c)

Reflection

d)

Translation

2.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

in proportion

d)

none of these

3.

If two figures are similar their angles are______.

a)

in proportion

b)

congruent

c)

acute

d)

complementary

4.

Triangle SQR is similar to Triangle SPT.

Which of the following is a pair corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

5.

Determine whether the following statement is True or False.

$\frac{9}{12}\ =\ \frac{12}{x}$ is the same proportion as $\frac{x}{12}\ =\ \frac{9}{12}$ .

a)

True

b)

False

6.

Determine whether the following statement is True or False.

If two figures are congruent, they are also similar.

a)

True

b)

False

7.

In the diagram, Pentagon ABCDE ~ Pentagon JYTQP. Which angle is congruent to angle B?

a)

P

b)

Q

c)

Y

d)

J

8.

In the diagram, Pentagon ABCDE ~ Pentagon JYTQP.

Complete the following proportion: $\frac{BC}{YT}\ =\ \frac{DE}{?}$

a)

QP

b)

JY

c)

TQ

d)

AB

9.

In the diagram, Triangle OLK maps onto Triangle OBC using a series of similarity transformations. Which of the following sequences may have occurred?

a)

Rotate 270 degrees counterclockwise, then dilate using a scale factor of 1/2

b)

Rotate 270 degrees counterclockwise, then dilate using a scale factor of 2

c)

Rotate 90 degrees counterclockwise, then dilate using a scale factor of 1/2

d)

Rotate 90 degrees counterclockwise, then dilate using a scale factor of 2

10.

Given $\Delta CAB$ and $\Delta YXZ$ in the diagram.

Are they similar and if so, what is the reason?

a)

Yes, by AA

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, these triangles are not similar

11.

In the diagram, $\Delta ABC\ \sim\ \Delta DEF$ .

Find x, the length of side DE.

a)

3.75

b)

9.75

c)

10

d)

12

12.

In the diagram, triangle JKL maps onto triangle MNO through a rotation of 180 degrees. Find x.

a)

12.5

b)

32

c)

26.7

d)

15

13.

In the diagram, $PQ\ \parallel\ RS$ . Find x.

a)

10

b)

22.5

c)

3.6

d)

18

14.

In the diagram of $\Delta PQR$ , $ST\ \parallel\ PR$ .

What is the length of QT?

a)

7

b)

2

c)

$12\ \frac{1}{2}$

d)

$17\ \frac{1}{2}$

15.

In the diagram of $\Delta ABC$ , $AC\ \parallel\ DE$ .

If AD = 24, DB = 12 and DE = 4, what is the length of AC?

a)

8

b)

12

c)

16

d)

72

Geometry Qtr 4, Quiz #6 - Similarity End of Year Review

Total questions: 15

Worksheet time: 4hrs 45mins

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