Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the relationship between two triangles that have the same shape but may differ in size. This means that their corresponding angles are equal and their corresponding sides are proportional.

Front

What do you need to conclude that two triangles are similar?

Back

If the three pairs of corresponding angles are congruent, no additional information is needed to conclude that the triangles are similar.

Front

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

Back

The angles of similar triangles are congruent.

Front

If two triangles are similar, what can be said about their sides?

Back

The corresponding sides of similar triangles are proportional.

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 SSS criterion for triangle similarity?

Back

The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, 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

How do you find the missing length in similar triangles?

Back

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

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = (DE/AB) * AC = (8/4) * 6 = 12.

Front

What is a proportional relationship in the context of similar triangles?

Back

A proportional relationship means that the ratios of the lengths of corresponding sides of similar triangles are equal.