Congruent Triangle Proofs

Front

What are congruent triangles?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent if two angles and a non-included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle are equal.

Front

What is the Reflexive Property in geometry?

Back

A property stating that a geometric figure is congruent to itself; used in proofs.

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Front

What are alternate interior angles?

Back

Angles that lie between two parallel lines and on opposite sides of a transversal; they are congruent.

Front

What is the SSS criterion for triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What additional information is needed to prove triangles congruent by SSS?

Back

The lengths of all three sides must be known.

Front

What is the definition of an angle bisector?

Back

A ray that divides an angle into two equal parts.