Properties of Parallelograms

Front

What is a parallelogram?

Back

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

Front

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

Back

The theorem states that if one set of opposite sides is parallel and congruent, then the quadrilateral is a parallelogram.

Front

What property do opposite sides of a parallelogram have?

Back

Opposite sides of a parallelogram are congruent.

Front

What property do opposite angles of a parallelogram have?

Back

Opposite angles of a parallelogram are congruent.

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 can be concluded if the diagonals of a quadrilateral bisect each other?

Back

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

Front

If a quadrilateral has one pair of opposite sides that are both parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What is the significance of the diagonals in a parallelogram?

Back

In a parallelogram, the diagonals bisect each other.

Front

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

Back

If none of the properties of parallelograms (like opposite sides being equal or parallel) hold true, then it is not a parallelogram.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated as Area = base × height.