6.3 Triangle Proofs

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What does the Reflexive Property state?

Back

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

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

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 equal parts.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence.

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 the Side-Angle-Side (SAS) 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 definition of the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines in relation to a transversal.