Triangle Congruence Theorems

Front

What does the acronym 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 the acronym 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 the acronym 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 the acronym 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 the acronym HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem 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

Which triangle congruence theorem is NOT valid?

Back

AAA (Angle-Angle-Angle) is not a valid triangle congruence theorem because it only shows that triangles are similar, not necessarily congruent.

Front

When can the SSS theorem be applied?

Back

The SSS theorem can be applied when all three sides of one triangle are known and can be compared to the three sides of another triangle.

Front

When can the SAS theorem be applied?

Back

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

Front

When can the ASA theorem be applied?

Back

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

Front

When can the AAS theorem be applied?

Back

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