Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

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 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 definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

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

Back

No, knowing only one side is not enough information to determine if two triangles are congruent.

Front

If two triangles have two sides and the included angle equal, what postulate can be used to prove congruence?

Back

The SAS (Side-Angle-Side) postulate can be used to prove congruence.

Front

If two triangles have all three sides equal, what postulate can be used to prove congruence?

Back

The SSS (Side-Side-Side) postulate can be used to prove congruence.

Front

If two triangles have two angles and a non-included side equal, what postulate can be used to prove congruence?

Back

The AAS (Angle-Angle-Side) postulate can be used to prove congruence.

Front

What is the relationship between ASA and AAS in triangle congruence?

Back

Both ASA and AAS can be used to prove triangle congruence, as they both involve two angles and a side.