Triangle Congruence Proofs

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 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, i.e., a = a.

Front

What is the Definition of Midpoint?

Back

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

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which can be proven using various congruence criteria.

Front

What is the definition of Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the Definition of Congruence in geometry?

Back

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

Front

What is the purpose of a proof in geometry?

Back

A proof is a logical argument that demonstrates the truth of a statement or theorem based on previously established statements.

Front

What is the SSS Congruence Postulate?

Back

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

Back

The SAS (Side-Angle-Side) Congruence 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.