7.5 Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

How do you find the missing side of similar figures?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

What is the Angle-Angle (AA) similarity postulate?

Back

The AA similarity postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

The SSS similarity theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

The SAS similarity theorem states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

If two triangles are similar, how do their areas compare?

Back

The areas of two similar triangles are in the ratio of the square of the lengths of their corresponding sides.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply the ratios and then solve for the variable.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.