Congruent Triangle Proofs

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 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 does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent if all three sides are equal.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself.

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 definition of an Angle Bisector?

Back

A ray that divides an angle into two equal parts.

Front

What is the definition of the HL Congruence Theorem?

Back

Hypotenuse-Leg: A method to prove right triangles are congruent if the hypotenuse and one leg are equal.