Triangle Congruence Proofs - HL and CPCTC

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent

Front

What is the definition of the hypotenuse leg (HL) theorem?

Back

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

Front

What is the Reflexive Property?

Back

For any geometric figure, it is congruent to itself.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two congruent angles.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two congruent segments.

Front

What is the SAS (Side-Angle-Side) 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 Vertical Angles Theorem?

Back

Vertical angles are congruent.

Front

When can you use CPCTC in a proof?

Back

CPCTC can be used after proving two triangles are congruent to show that corresponding parts are also congruent.

Front

What is the significance of stating 'there are right triangles' in a proof using HL?

Back

It establishes the context for applying the HL theorem.