Similar Figures & Similarity Transformations

Front

What are similar figures?

Back

Two figures that have the same shape but not necessarily the same size.

Front

What is a similarity transformation?

Back

A transformation that alters the size of a figure but keeps its shape, including dilations and reflections.

Front

What is dilation in geometry?

Back

A transformation that changes the size of a figure by a scale factor, either enlarging or reducing it.

Front

What does a scale factor of 2 mean in dilation?

Back

The figure is enlarged to twice its original size.

Front

What does a scale factor of 1/2 mean in dilation?

Back

The figure is reduced to half its original size.

Front

What is the relationship between corresponding sides of similar figures?

Back

The corresponding sides are proportional.

Front

What is the relationship between corresponding angles of similar figures?

Back

The corresponding angles are congruent.

Front

If two triangles are similar, what can be said about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are the same shape and size, while similar figures are the same shape but different sizes.