Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which is not a valid criterion for triangle congruence because it only shows that triangles are similar, not necessarily congruent.

Front

What is the AAS criterion in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where 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

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various geometric proofs and constructions.

Front

How can you prove that two triangles are congruent using the SAS criterion?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in size and shape, while similarity means that triangles have the same shape but may differ in size.

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, knowing only one angle and one side is not sufficient to prove congruence; more information is needed.

Front

What is the role of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which is essential for proving triangle congruence.