Triangle Congruence and CPCTC

Front

What is the definition of an Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What does the Alternate Interior Angles Theorem state?

Back

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

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., AB = AB.

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 Congruent Segments?

Back

Congruent segments are segments that have the same length.

Front

What is the definition of Triangle Congruence?

Back

Triangle congruence means that two triangles are congruent if their corresponding sides and angles are equal.

Front

What does CPCTC stand for?

Back

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

Front

What is the definition of the Transitive Property?

Back

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

Front

What is the definition of the Symmetric Property?

Back

The Symmetric Property states that if a = b, then b = a.

Front

What is the definition of the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate states that 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.