triangle congruence proofs1

Front

What is the Definition of Angle Bisector?

Back

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

Front

What does the Reflexive Property state?

Back

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Postulate states that 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 SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the Transitive Property of Congruence?

Back

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used to prove that corresponding parts of congruent triangles are equal.

Front

What is the Definition of Midpoint?

Back

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

Front

What is the purpose of a congruence statement?

Back

A congruence statement indicates that two geometric figures are congruent, specifying which parts correspond to each other.