Triangle Congruence SSS SAS ASA AAS HL

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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 triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

When can we say two triangles are congruent using SSS?

Back

Two triangles are congruent using SSS when all three sides of one triangle are equal to all three sides of another triangle.

Front

When can we say two triangles are congruent using SAS?

Back

Two triangles are congruent using SAS when two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Front

When can we say two triangles are congruent using ASA?

Back

Two triangles are congruent using ASA when two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle.

Front

When can we say two triangles are congruent using AAS?

Back

Two triangles are congruent using AAS when two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle.

Front

When can we say two right triangles are congruent using HL?

Back

Two right triangles are congruent using HL when the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.