Congruent Triangle Proofs

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning that for any triangle ABC, triangle ABC ≅ triangle ABC.

Front

What are Vertical Angles?

Back

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

Front

What are Alternate Interior Angles?

Back

Alternate interior angles are pairs of angles that lie between two parallel lines and on opposite sides of a transversal. They are congruent.

Front

What is the Definition of Midpoint?

Back

The midpoint of a segment is the point that divides the segment into two equal parts.

Front

What is the purpose of a Segment Bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

Can two triangles be proven congruent if only one side is known?

Back

No, at least two sides and the included angle or two angles and the included side must be known to prove congruence.