Congruent Triangles

Front

What is the Angle-Angle-Angle (AAA) criterion for triangle congruence?

Back

AAA is not a valid criterion for proving triangles congruent because it only shows that triangles are similar, not congruent.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

SAS states that 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 is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

ASA states that 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 is the Angle-Angle-Side (AAS) criterion for triangle congruence?

Back

AAS states that 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

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

SSS states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

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

Back

No, knowing only one angle is not sufficient to prove triangle congruence; additional information is needed.

Front

What is the relationship between similar triangles and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size, while congruent triangles are both the same shape and size.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence in the SAS criterion.