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 is the property of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent (equal in length).

Front

What is the property of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent (equal in measure).

Front

What is the property of diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

What does it mean for a quadrilateral to be a parallelogram?

Back

A quadrilateral is a parallelogram if it has one pair of opposite sides that are both parallel and equal in length.

Front

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

Back

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

Front

How can you prove that a quadrilateral is a parallelogram using angles?

Back

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

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

What theorem states that if one pair of opposite sides is both parallel and congruent, the quadrilateral is a parallelogram?

Back

The theorem states that if one pair of opposite sides is parallel and congruent, then the quadrilateral is a parallelogram.

Front

If a quadrilateral has diagonals that bisect each other, what can be concluded?

Back

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.