Triangle Congruence Proofs

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a rule stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule 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, the triangles are congruent.

Front

What is the Reflexive Property?

Back

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

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

If DA bisects IE, what can be concluded about IA and EA?

Back

If DA bisects IE, then IA = EA.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

How can you determine if two triangles are congruent using the SSS rule?

Back

To determine if two triangles are congruent using the SSS rule, measure the lengths of all three sides of both triangles. If all three pairs of sides are equal, the triangles are congruent.