SSS - SAS - ASA - AAS - HL

Front

What does SSS stand for in triangle congruence?

Back

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

Back

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

Back

AAS stands for Angle-Angle-Side, a theorem 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, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies only 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

When can we use the SSS Congruence Theorem?

Back

The SSS Congruence Theorem can be used when all three sides of two triangles are known and can be compared.

Front

When can we use the SAS Congruence Theorem?

Back

The SAS Congruence Theorem can be used when two sides and the included angle of one triangle are known and can be compared to another triangle.

Front

When can we use the ASA Congruence Theorem?

Back

The ASA Congruence Theorem can be used when two angles and the included side of one triangle are known and can be compared to another triangle.

Front

When can we use the AAS Congruence Theorem?

Back

The AAS Congruence Theorem can be used when two angles and a non-included side of one triangle are known and can be compared to another triangle.

Front

When can we use the HL Congruence Theorem?

Back

The HL Congruence Theorem can be used only for right triangles when the hypotenuse and one leg are known.