Triangle Similarity Conditions

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 does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the SAS Similarity Theorem?

Back

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

Front

What is the SSS Similarity Theorem?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

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

Back

The corresponding sides are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

How can you prove that two triangles are similar using the AA criterion?

Back

By showing that two angles of one triangle are equal to two angles of another triangle.

Front

What is the included angle in the SAS Similarity Theorem?

Back

The angle formed between the two sides being compared.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

AB/DE = BC/EF = AC/DF.

Front

What is a similarity statement?

Back

A statement that indicates two figures are similar, such as ΔABC ~ ΔDEF.