Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg

Front

What additional information is required for two triangles to be congruent by ASA?

Back

The length of one side between the two angles.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side

Front

What is the definition of triangle congruence?

Back

Two triangles are congruent if all their corresponding sides and angles are equal.

Front

What is the criteria for triangle congruence using SSS?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the criteria for triangle congruence using ASA?

Back

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 is the criteria for triangle congruence using AAS?

Back

If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the criteria for triangle congruence using HL?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

What is the significance of the included angle in ASA?

Back

The included angle is the angle between the two sides that are being considered for congruence.