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 are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal.

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 one angle of a parallelogram is 95°, what are the measures of the other angles?

Back

The opposite angle is also 95°, and the consecutive angles are 85° each.

Front

What can be concluded if both pairs of opposite sides of a quadrilateral are congruent?

Back

The quadrilateral is a parallelogram.

Front

What is the relationship between consecutive interior angles in a parallelogram?

Back

Consecutive interior angles in a parallelogram are supplementary, meaning they add up to 180°.

Front

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

Back

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

Front

What is the definition of congruent sides?

Back

Congruent sides are sides that are equal in length.

Front

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

Back

It is a parallelogram.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.