SSS vs SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property of Congruence states that any geometric figure is congruent to itself.

Front

What is the Symmetric Property of Congruence?

Back

The Symmetric Property of Congruence states that if one figure is congruent to another, then the second figure is congruent to the first.

Front

What is the Transitive Property of Congruence?

Back

The Transitive Property of Congruence states that if figure A is congruent to figure B, and figure B is congruent to figure C, then figure A is congruent to figure C.

Front

What is the ASA criterion for triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the HL criterion for triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

Can two triangles be congruent if only one side is known to be equal?

Back

No, knowing only one side is not sufficient to determine triangle congruence; at least two sides and the included angle (SAS) or all three sides (SSS) must be known.

Front

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

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS criterion.