SSS, SAS, AAS, ASA, HL

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', which is 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, then the two triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', which is a criterion for triangle congruence stating 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 two triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', which is 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, then the two triangles are congruent.

Front

What additional information is needed to prove triangles congruent by SSS?

Back

To prove triangles congruent by SSS, the lengths of all three sides of both triangles must be known.

Front

What additional information is needed to prove triangles congruent by SAS?

Back

To prove triangles congruent by SAS, the lengths of two sides and the measure of the included angle must be known.

Front

What additional information is needed to prove triangles congruent by AAS?

Back

To prove triangles congruent by AAS, the measures of two angles and the length of one non-included side must be known.

Front

What additional information is needed to prove triangles congruent by ASA?

Back

To prove triangles congruent by ASA, the measures of two angles and the length of the included side must be known.

Front

What additional information is needed to prove triangles congruent by HL?

Back

To prove triangles congruent by HL, the lengths of the hypotenuse and one leg of both right triangles must be known.