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 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 determine if a quadrilateral is a parallelogram?

Back

You can determine if a quadrilateral is a parallelogram by checking if: 1. Opposite sides are parallel. 2. Opposite sides are congruent. 3. One set of opposite sides is both parallel and congruent.

Front

What does it mean for diagonals to bisect each other in a parallelogram?

Back

It means that the diagonals of the parallelogram intersect at their midpoints, dividing each diagonal into two equal segments.

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

If two angles of a parallelogram are 40° and 140°, what are the measures of the other two angles?

Back

The other two angles are also 40° and 140° because opposite angles in a parallelogram are congruent.

Front

What is the relationship between the opposite sides of a parallelogram?

Back

The opposite sides of a parallelogram are equal in length.

Front

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

Back

The Diagonal Bisector Theorem.

Front

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

Back

The quadrilateral is a parallelogram.