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.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion 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 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion 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 HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion used for right triangles where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

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.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the ASA criterion.

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Front

What is the relationship between congruent triangles?

Back

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