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 opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are equal in length and parallel.

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 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the adjacent angles are 110° each.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive 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

A quadrilateral is a parallelogram if one pair of opposite sides is both parallel and equal in length.

Front

What theorem states that if both pairs of opposite sides of a quadrilateral are equal, it is a parallelogram?

Back

The Opposite Sides Theorem states that if both pairs of opposite sides are equal, the quadrilateral is a parallelogram.

Front

What theorem states that if both pairs of opposite angles of a quadrilateral are equal, it is a parallelogram?

Back

The Opposite Angles Theorem states that if both pairs of opposite angles are equal, the quadrilateral is a parallelogram.

Front

If two angles of a parallelogram are 60° and 120°, what are the measures of the other two angles?

Back

The other two angles are also 60° and 120° respectively.