Free Printable Quiz - Congruence

1.

For which transformations will the image and pre-image be congruent?

You can have more than one answer.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

2.

Are the two figures congruent? If so, which transformation was used to create the image?

a)

Yes. Translation $\left(x,\ y\right)\rightarrow\left(x+9,\ y+5\right)$

b)

Yes. Reflection over the x-axis

c)

Yes. Rotation $180^0$

d)

No.

3.

Are the two figures congruent? If so, which transformation was used to create the image?

a)

Yes. Translation $\left(x,\ y\right)\rightarrow\left(x+6,\ y\right)$

b)

Yes. Reflection over the y-axis

c)

Yes. Rotation $90^0$ counterclockwise

d)

No.

4.

Are the two figures congruent? If so, which transformation was used to create the image?

a)

Yes. Translation $\left(x,\ y\right)\rightarrow\left(x+1,\ y-3\right)$

b)

Yes. Reflection over the x-axis

c)

Yes. Rotation $270^0$ counterclockwise

d)

No.

5.

Describe the sequence of rigid motions that maps one figure to the other.

4 lines

6.

$\Delta QPO\cong\Delta XYW.\ \ What\ is\ m\angle W?$

a)

$33^0$

b)

$57^0$

c)

$90^0$

d)

$78^0$

7.

$\Delta QPO\cong\Delta XYW.\ \ What\ is\ OP?$

Make sure you include the units in your answer.

(a)

8.

$RQPS\cong UVWX.\ \ What\ is\ m\angle S?$

a)

$70^0$

b)

$153^0$

c)

$83^0$

d)

$54^0$

9.

$RQPS\cong UVWX.\ \ What\ is\ UV?$

Please include the units in your answer.

(a)

10.

$ABCD\cong PQRS.$ What are the values of x and y?

a)

$x=48\ and\ y=3$

b)

$x=48\ and\ y=5$

c)

$x=42\ and\ y=3$

d)

$x=42\ and\ y=5$

Quiz - Congruence

Total questions: 10

Worksheet time: 3hrs 30mins

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