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 opposite sides of a parallelogram have?

Back

Opposite sides of a parallelogram are congruent (equal in length).

Front

What can be said about the opposite angles of a parallelogram?

Back

Opposite angles of a parallelogram are congruent (equal in measure).

Front

What is the relationship between consecutive angles in a parallelogram?

Back

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

Front

What is the significance of the diagonals in a parallelogram?

Back

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

Front

How can you determine if a quadrilateral is a parallelogram using opposite sides?

Back

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

Front

How can you determine if a quadrilateral is a parallelogram using opposite angles?

Back

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

Front

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

Back

The One Pair of Opposite Sides Theorem.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If a quadrilateral has both pairs of opposite sides congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.