Proving Quadrilaterals

Front

What is a parallelogram?

Back

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

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are congruent. 2. Opposite angles are congruent. 3. The diagonals bisect each other.

Front

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

Back

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

Front

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

Back

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

Front

How can you prove a quadrilateral is a parallelogram using diagonals?

Back

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

Front

What does it mean for a quadrilateral to have one set of sides parallel and congruent?

Back

If one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.

Front

What is the significance of congruent opposite sides in a quadrilateral?

Back

Congruent opposite sides indicate that the quadrilateral may be a parallelogram, but further verification is needed.

Front

What is the significance of congruent opposite angles in a quadrilateral?

Back

Congruent opposite angles indicate that the quadrilateral may be a parallelogram, but further verification is needed.

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

Can a quadrilateral be a parallelogram if only one pair of opposite sides is parallel?

Back

No, a quadrilateral cannot be a parallelogram if only one pair of opposite sides is parallel.