Mid-Chapter Similarity

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Front

If two figures are similar, what can be said about their angles?

Back

The angles of similar figures are congruent.

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is the SAS criterion for triangle similarity?

Back

The SAS criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

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

Front

If the perimeter of a similar figure is known, how can you find the perimeter of another similar figure?

Back

You can use the ratio of the corresponding sides to set up a proportion to find the unknown perimeter.

Front

Given that the NBA basketball court has a perimeter of 288 ft and is similar to an elementary school court, how do you find the perimeter of the elementary court?

Back

Use the ratio of the sidelines (NBA: 94 ft, Elementary: 84.6 ft) to set up a proportion with the perimeters.

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

What does it mean for two figures to be not similar?

Back

Two figures are not similar if their corresponding angles are not congruent or their corresponding sides are not in proportion.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

Check if two angles of one triangle are equal to two angles of another triangle.