Congruent Triangle Proofs (ASA, SSS, SAS, AAS)

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 is the ASA criterion for 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

Define SAS in the context of 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 AAS stand for 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?

Back

Congruent triangles have the same size and shape, meaning their corresponding sides and angles are equal.

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 also congruent.

Front

What additional information is required for two triangles to be congruent by SSS?

Back

No additional information is required; knowing all three sides of both triangles is sufficient.

Front

In triangle congruence, what does it mean if two angles are congruent?

Back

If two angles are congruent, they have the same measure.

Front

What is the purpose of proving triangle congruence?

Back

Proving triangle congruence helps establish that two triangles are identical in shape and size, which can be used in various geometric proofs and applications.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be known, while AAS does not require the included side to be known.