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.

Tags

CCSS.3.G.A.1

Front

What are the properties of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are parallel and congruent.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

The quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

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 degrees.

Tags

CCSS.HSG.C.A.3

Front

What happens to the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11

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

How can you prove that a quadrilateral is a parallelogram using its diagonals?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

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

Back

The opposite angles of a parallelogram are congruent.

Tags

CCSS.HSG.C.A.3

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Tags

CCSS.8.G.A.2