Triangle Congruence Theorems

Front

What does SSS Congruence stand for?

Back

Side-Side-Side Congruence: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS Congruence stand for?

Back

Side-Angle-Side Congruence: 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 Congruence stand for?

Back

Angle-Side-Angle Congruence: 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 Congruence stand for?

Back

Angle-Angle-Side Congruence: 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 Congruence stand for?

Back

Hypotenuse-Leg Congruence: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

Which triangle congruence theorem is NOT valid?

Back

AAA (Angle-Angle-Angle) is not a congruence theorem because it does not guarantee that the triangles are congruent; it only shows that they are similar.

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.