Properties of Parallelograms

Front

What is a property of a parallelogram regarding its diagonals?

Back

The diagonals of a parallelogram bisect each other.

Front

Which property indicates that a quadrilateral is a parallelogram?

Back

If the diagonals bisect each other.

Front

What must be true about opposite sides of a parallelogram?

Back

Both pairs of opposite sides are parallel and congruent.

Front

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

Back

The quadrilateral is a parallelogram.

Front

What is the relationship between opposite angles in a parallelogram?

Back

Both pairs of opposite angles are congruent.

Front

If a quadrilateral has one pair of opposite sides that are parallel and congruent, what can be said about the quadrilateral?

Back

It is a parallelogram.

Front

What is the definition of a parallelogram?

Back

A quadrilateral with both pairs of opposite sides parallel.

Front

How can you prove that a quadrilateral is not a parallelogram?

Back

If it does not satisfy any of the properties of parallelograms.

Front

What is the significance of the diagonals in a parallelogram?

Back

They bisect each other, meaning they cut each other in half.

Front

What theorem can be used to show that a quadrilateral is a parallelogram based on opposite angles?

Back

If both pairs of opposite angles are congruent.