Similar Triangles Review

Front

What are similar triangles?

Back

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

Front

What is the AA similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the SSS similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you find missing angles in similar triangles?

Back

Use the fact that the sum of angles in a triangle is 180°. If two angles are known, subtract their sum from 180° to find the third angle.

Front

What is the relationship between angles and side lengths in similar triangles?

Back

Angles are congruent; side lengths are proportional.

Front

If triangle ABC is similar to triangle DEF, what does this imply about their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What does it mean for triangles to be not similar?

Back

Triangles are not similar if their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

How do you determine if two triangles are similar using a scale factor?

Back

If the lengths of corresponding sides are multiplied by the same scale factor, the triangles are similar.

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape, maintaining the proportions of the sides.