Triangle Congruence Proofs

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

If M is the midpoint of segment AB, what can we conclude about AM and MB?

Back

AM = MB.

Front

What does the term 'congruent' mean in geometry?

Back

Congruent means that two figures have the same shape and size.

Front

What is the SSS Congruence Postulate?

Back

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

Front

What is the SAS Congruence Postulate?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA Congruence Postulate?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS Congruence Theorem?

Back

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

Front

What is the HL Congruence Theorem?

Back

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the Vertical Angle Theorem?

Back

Vertical angles are congruent.

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.'