Triangle Similarity Theorems Practice

Front

What is the AA similarity criterion?

Back

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

Front

What does the SSS similarity criterion state?

Back

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

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the Reflexive Property in geometry?

Back

Front

What does the Triangle Sum Theorem state?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the Corresponding Angle Postulate?

Back

The Corresponding Angle Postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

What is the AAS similarity criterion?

Back

The AAS (Angle-Angle-Side) similarity criterion states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are similar.

Front

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

Back

To prove two triangles are similar using the AA criterion, show that two angles of one triangle are congruent to two angles of another triangle.

Front

What is the significance of the SSS similarity criterion?

Back

The SSS similarity criterion is significant because it allows for the determination of triangle similarity based solely on the lengths of their sides.

Front

What is the significance of the SAS similarity criterion?

Back

The SAS similarity criterion is significant because it allows for the determination of triangle similarity by comparing two sides and the included angle.