Proofs triangles

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 are known.

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 are known.

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 are known.

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 are known.

Front

What is the AAS criterion used for?

Back

The AAS criterion is used to prove that two triangles are congruent by showing that two angles and a non-included side are equal.

Front

What is the ASA criterion used for?

Back

The ASA criterion is used to prove that two triangles are congruent by showing that two angles and the included side are equal.

Front

What is the SAS criterion used for?

Back

The SAS criterion is used to prove that two triangles are congruent by showing that two sides and the included angle are equal.

Front

What is the SSS criterion used for?

Back

The SSS criterion is used to prove that two triangles are congruent by showing that all three sides are equal.

Front

Can two triangles be proven congruent with only two sides and a non-included angle?

Back

No, this is known as the SSA condition, which does not guarantee triangle congruence.

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.