Triangle Congruence Theorems

Front

What do we call a group of triangles that are similar in figure and similar in terms of the measures of their corresponding interior angles and corresponding side?

Back

Congruent triangles

Front

Which triangle congruence theorem can be used to prove the triangles are congruent if two sides and the included angle are known?

Back

SAS (Side-Angle-Side) theorem

Front

Which triangle congruence theorem can be used to prove the triangles are congruent if all three sides are known?

Back

SSS (Side-Side-Side) theorem

Front

Which triangle congruence theorem can be used to prove the triangles are congruent if two angles and the included side are known?

Back

AAS (Angle-Angle-Side) theorem

Front

Which triangle congruence theorem can be used to prove the triangles are congruent if the hypotenuse and one leg of a right triangle are known?

Back

HL (Hypotenuse-Leg) theorem

Front

What is the definition of congruent triangles?

Back

Triangles that are identical in shape and size, having corresponding sides and angles that are equal.

Front

What does the SSS theorem state?

Back

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

Front

What does the SAS theorem state?

Back

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 the AAS theorem state?

Back

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 the HL theorem state?

Back

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.