CPCTC Proofs

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if segment AB is a segment, then AB = AB.

Front

What is the statement for step 3 of a proof involving triangles?

Back

HA = AH, indicating that the two angles are equal.

Front

What is the reason for step 3 of a proof involving triangles?

Back

The reason is the Reflexive Property, which states that an angle is equal to itself.

Front

What is the definition of a midpoint?

Back

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

Front

What is the definition of segment bisector?

Back

A segment bisector is a point, ray, line, or plane that intersects a segment at its midpoint.

Front

What is the Vertical Angle Theorem?

Back

The Vertical Angle Theorem states that vertical angles are congruent.

Front

What does CPCTC stand for?

Back

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

Front

What is a congruence statement?

Back

A congruence statement is a statement that indicates that two figures are congruent, such as △ABC ≅ △DEF.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.