Proving Triangles Congruent- SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 theorem 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 theorem 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 theorem 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 criteria for proving triangles congruent using SSS?

Back

To prove triangles congruent using SSS, all three sides of one triangle must be equal to all three sides of another triangle.

Front

What is the criteria for proving triangles congruent using SAS?

Back

To prove triangles congruent using SAS, two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

What is the criteria for proving triangles congruent using ASA?

Back

To prove triangles congruent using ASA, two angles and the included side of one triangle must be equal to two angles and the included side of another triangle.

Front

What is the criteria for proving triangles congruent using AAS?

Back

To prove triangles congruent using AAS, two angles and a non-included side of one triangle must be equal to two angles and the corresponding non-included side of another triangle.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) cannot be used to prove triangle congruence as it does not guarantee that the triangles are congruent.

Front

If two triangles have two equal angles, what can be said about their sides?

Back

If two triangles have two equal angles, the sides opposite those angles are proportional, but the triangles may not be congruent.