Triangle Congruence Proofs

Front

What is the Reflexive Property of Congruence?

Back

Front

What is the Midpoint Theorem?

Back

Front

What is the definition of congruent triangles?

Back

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side. It is a criterion for triangle congruence stating that 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

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side. It is a criterion for triangle congruence stating that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side. It is a criterion for triangle congruence stating 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 congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle. It is a criterion for triangle congruence stating 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 congruent.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines. If the lines are parallel, these angles are congruent.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different lines in relation to a transversal. If the lines are parallel, these angles are congruent.