Corresponding Parts, SSS, SAS, & HL

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 does ASA stand for in 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 does AAS stand for in triangle congruence?

Back

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

Front

What does HL stand for in 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

If ΔXYZ ≅ ΔCAB, what can we conclude about their corresponding parts?

Back

The corresponding parts of congruent triangles are equal, meaning XY = CA, YZ = AB, and ZX = BC.

Front

How can you determine if two triangles are congruent using SSS?

Back

Measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent by SSS.

Front

How can you determine if two triangles are congruent using SAS?

Back

Measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent by SAS.

Front

What is the significance of the congruence statement ΔABC ≅ ΔDRS?

Back

This statement indicates that triangle ABC is congruent to triangle DRS, meaning all corresponding sides and angles are equal.

Front

If two triangles are not congruent, what can you conclude?

Back

If two triangles are not congruent, at least one pair of corresponding sides or angles is not equal.