Similarity Criteria

Front

What does AA Similarity stand for in triangle similarity?

Back

AA Similarity stands for Angle-Angle Similarity, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What does SAS Similarity stand for in triangle similarity?

Back

SAS Similarity stands for Side-Angle-Side Similarity, which 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 does SSS Similarity stand for in triangle similarity?

Back

SSS Similarity stands for Side-Side-Side Similarity, which states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

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

Back

The corresponding sides of similar triangles are proportional.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

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

Front

What is the Side-Angle-Side (SAS) criterion for triangle similarity?

Back

The SAS criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are proportional, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) criterion for triangle similarity?

Back

The SSS criterion states that if the lengths of the sides of one triangle are proportional to the lengths of the sides of another triangle, then the triangles are similar.

Front

What is the Angle-Angle-Side (AAS) criterion for triangle similarity?

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are similar.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle similarity?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are similar.