Similarity Unit Review

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

What is the AA criterion for triangle similarity?

Back

The AA (Angle-Angle) 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 (Side-Angle-Side) 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 (Side-Side-Side) criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How can you determine if two triangles are similar using corresponding angles?

Back

If all three pairs of corresponding angles are congruent, then the triangles are similar.

Front

What is a scale factor in the context of similar triangles?

Back

A scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

How do you find the missing length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

If the height of a pole is 16 feet and it casts a 4-foot shadow, how tall is a building that casts a 120-foot shadow?

Back

The building is 480 feet tall.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.