Parallelogram Proofs(with triangle congruence) M15.6

Front

What is the ASA Triangle Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Triangle Congruence Theorem 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 two triangles are congruent.

Front

What is the definition of a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length.

Front

What is the property of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent.

Front

What does the alternate interior angles theorem state?

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 does CPCTC stand for?

Back

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

Front

What is the SSS Triangle Congruence Postulate?

Back

The SSS (Side-Side-Side) Triangle Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What is the AAS Triangle Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Triangle Congruence Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS (Side-Angle-Side) Triangle Congruence Theorem 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 two triangles are congruent.

Front

What is the definition of a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Front

What is the property of consecutive angles in a parallelogram?

Back

In a parallelogram, consecutive angles are supplementary, meaning they add up to 180 degrees.