SAS, SSS, ASA, AAS

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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, then the triangles are congruent.

Front

What is the criteria for triangle congruence using SAS?

Back

For SAS, two triangles are congruent if two sides of one triangle are equal to two sides of another triangle and the angle between those sides is equal.

Front

What is the criteria for triangle congruence using SSS?

Back

For SSS, two triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the criteria for triangle congruence using ASA?

Back

For ASA, two triangles are congruent if two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle.

Front

What is the criteria for triangle congruence using AAS?

Back

For AAS, two triangles are congruent 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.

Front

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

Back

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

Front

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

Back

If two triangles have two equal angles, their corresponding sides are proportional, but they may not be congruent unless the third side is also equal.