Triangle Congruence by ASA and AAS

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side

Front

State the ASA Congruence Theorem.

Back

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 congruent.

Front

State the AAS Congruence Theorem.

Back

If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are equal.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the SSS Congruence Theorem?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS Congruence Theorem?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

How can you prove triangles are congruent using ASA?

Back

By showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.