Properties of Parallelograms

Front

What is a parallelogram?

Back

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

Front

What theorem states that if both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram?

Back

The Opposite Angles Theorem.

Front

What property of a parallelogram states that the diagonals bisect each other?

Back

The Diagonal Bisector Property.

Front

If one pair of opposite sides of a quadrilateral is both parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles are supplementary, meaning they add up to 180 degrees.

Front

How can you prove that a quadrilateral is a parallelogram using the sides?

Back

If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram.

Front

What is the significance of the Opposite Sides Congruent theorem?

Back

If both pairs of opposite sides of a quadrilateral are congruent, then it is a parallelogram.

Front

What does it mean for diagonals to bisect each other in a parallelogram?

Back

It means that each diagonal divides the other into two equal parts.

Front

What can be concluded if the diagonals of a quadrilateral bisect each other?

Back

The quadrilateral is a parallelogram.

Front

What is the definition of opposite angles in a parallelogram?

Back

Opposite angles are angles that are across from each other in a parallelogram and are congruent.