Congruent Triangles (SSS, SAS, ASA, AAS, HL)

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: 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

Side-Angle-Side: 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

Angle-Side-Angle: 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

Angle-Angle-Side: 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

Hypotenuse-Leg: 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 CPCTC?

Back

Corresponding Parts of Congruent Triangles are Congruent: A principle used to prove that corresponding parts of congruent triangles are equal.

Front

How can you prove triangles are congruent using SSS?

Back

By showing that all three sides of one triangle are equal to all three sides of another triangle.

Front

How can you prove triangles are congruent using SAS?

Back

By showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove triangles are congruent using ASA?

Back

By showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you prove triangles are congruent using AAS?

Back

By showing that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.