Congruent Triangles

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

Is AAA a valid rule for proving triangles congruent?

Back

No, AAA (Angle-Angle-Angle) is not a valid rule for proving triangles congruent because it does not guarantee that the triangles are the same size.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides 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

Which method will not prove triangles are congruent?

Back

SSA (Side-Side-Angle) will not prove triangles are congruent because it can lead to ambiguous cases.

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 Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) postulate?

Back

The SAS postulate states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) postulate?

Back

The SSS postulate states that if three sides of one triangle are equal to 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; more information is needed.