Similar Figures & Similarity Transformations

Front

What are similar figures?

Back

Two figures that have the same shape but may differ in size.

Front

What does it mean for corresponding sides to be proportional?

Back

The ratios of the lengths of corresponding sides of similar figures are equal.

Front

What is a similarity transformation?

Back

A transformation that alters the size and/or position of a figure but maintains its shape.

Front

What is dilation in the context of similarity transformations?

Back

A transformation that enlarges or reduces a figure by a scale factor.

Front

What is a scale factor?

Back

A number that scales, or multiplies, the dimensions of a figure during dilation.

Front

What happens to the angles of similar figures?

Back

The corresponding angles of similar figures are congruent.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of corresponding sides are in proportion.

Front

What is the result of reflecting a figure across an axis?

Back

The figure is flipped over the axis, creating a mirror image.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are the same shape and size; similar figures are the same shape but not necessarily the same size.

Front

What is the sequence of transformations that can map one triangle onto another?

Back

A combination of rotation, reflection, and dilation.