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 property do the diagonals of a parallelogram have?

Back

The diagonals of a parallelogram bisect each other.

Front

What can be concluded if one pair of opposite sides of a quadrilateral are both parallel and congruent?

Back

The quadrilateral is a parallelogram.

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are congruent.

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

Front

If two angles of a parallelogram are supplementary, what can be said about the other two angles?

Back

The other two angles are also supplementary.

Front

What is the property of consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary.

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

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram not only bisect each other but also can be used to prove that the figure is a parallelogram.

Front

What does it mean for a quadrilateral to have one pair of opposite sides parallel?

Back

If a quadrilateral has one pair of opposite sides that are parallel and equal in length, it is a parallelogram.