Transformations and Congruent vs Similar Figures

Translations are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Are these shapes congruent?

• Yes

• No

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.

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Determine the relationship of the figures.

• Congruent

• Not Congruent

• Similar

Congruent shapes have the same...

• Size

• Color

• Shape

• Rotation

Dilation

• Is a transformation that slides the figure up, down, left, or right.

• Is a transformations that flips the figure over a given axis.

• Is a transformation that turns or spins the figure.

• Is a transformation that enlarges or reduces the figure. It creates similar shapes.

Similar Figures

• A transformation that rotates a figure around a center of rotation.

• Two shapes that are the same size and shape.

• Two figures that are the same shape but not necessarily the same size.

• Two figures that are flipped.

All corresponding angles in similar figures are congruent.  

• True

• False

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary