SSS, SAS, ASA, AAS

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 a corresponding non-included side of another triangle, then the triangles are congruent.

Front

Which congruence postulate cannot be used to prove triangles congruent?

Back

AAA (Angle-Angle-Angle) cannot be used to prove triangles congruent because it does not provide information about the sides.

Front

What is the significance of the SSA condition in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because the angle may not be included between the two sides.

Front

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

Back

SSS (Side-Side-Side) postulate can be used.

Front

If two triangles have two angles and the side between them equal, what postulate can be used?

Back

ASA (Angle-Side-Angle) postulate can be used.

Front

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

Back

AAS (Angle-Angle-Side) postulate can be used.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are equal.