Similar vs Congruent Transformations

Determine if the two figures are similar by using transformations.

• Similar; a reflection and a dilation map one figure onto the other

• Similar; a rotation and a dilation map one figure onto the other.

• Similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

Determine if the two figures are similar by using transformations.

• The figures are not similar.

• Similar; a rotation and a dilation map one figure onto the other.

• Similar; a reflection and a dilation map one figure onto the other.

• Similar; a translation and a dilation map one figure onto the other.

Write congruence statements comparing the corresponding parts in the congruent figures shown.

• A

• B

• C

• D

Translations are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Match the following words with their description.

• An image that has the same shape and size after a transformation.

• Similar

• An image that has the same shape, but a different size after a transformation.

• Dilation

• A transformation that causes a figure to change in size.

• Not Congruent

• An image that has changed in shape or size after a transformation.

• Congruent

​ (a)   refers to whether the pre-image and image have the same size and shape.

• Congruence

• Similarity

• Orientation of the Figure

• Orientation of the Vertices

Determine the relationship of the figures.

• Congruent

• Not Congruent

• Similar

Determine the relationship of the figures.

• Congruent

• Not Congruent

• Similar

Sides in similar figures must be proportional.  

• True

• False 

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.