Quiz - Congruence

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

You can have more than one answer.

• Translation

• Reflection

• Rotation

• Dilation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

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

• Yes. Reflection over the x-axis

• Yes. Rotation $180^0$

• No.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

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

• Yes. Reflection over the y-axis

• Yes. Rotation $90^0$ counterclockwise

• No.

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

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

• Yes. Reflection over the x-axis

• Yes. Rotation $270^0$ counterclockwise

• No.

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

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

•  $33^0$  

•  $57^0$  

•  $90^0$  

•  $78^0$  

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

Make sure you include the units in your answer.

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

•  $70^0$  

•  $153^0$  

•  $83^0$  

•  $54^0$  

 $RQPS\cong UVWX.\ \ What\ is\ UV?$  

Please include the units in your answer.

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

•  $x=48\ and\ y=3$  

•  $x=48\ and\ y=5$  

•  $x=42\ and\ y=3$  

•  $x=42\ and\ y=5$