Transformation and Congruent vs Similar Figures

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.

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

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

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

All corresponding angles in congruent figures are congruent.  

• True

• False

Reflection

• 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 rotates the figure.

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

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 

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

• x = 12

• x = 3

• x = 40

• x = 4