Triangle Congruence Proofs

Front

What is the definition of congruent segments?

Back

Segments that have the same length.

Front

What does the Alternate Exterior Angles Theorem state?

Back

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

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent.

Front

What is the definition of an angle bisector?

Back

A ray that divides an angle into two congruent angles.

Front

What is the Symmetric Property of Congruence?

Back

If figure A is congruent to figure B, then figure B is congruent to figure A.

Front

What does it mean for a line to be a perpendicular bisector?

Back

It is a line that divides a segment into two equal parts at a right angle.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same position on two parallel lines cut by a transversal.

Front

What is the definition of triangle congruence?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

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

Back

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 Angle-Side-Angle (ASA) Congruence Postulate?

Back

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.