Properties of Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Front

State the properties of opposite angles in a parallelogram.

Back

The opposite angles of a parallelogram are congruent.

Front

What can be concluded if both pairs of opposite sides of a quadrilateral are congruent?

Back

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.

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 sum of the interior angles of a parallelogram?

Back

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

Front

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

Back

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

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary (add up to 180 degrees).

Front

If a quadrilateral has one pair of opposite sides that are parallel and equal in length, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What theorem states that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram?

Back

The Diagonal Bisector Theorem.