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 property do the diagonals of a parallelogram have?

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What can be concluded if one pair of opposite sides of a quadrilateral are both parallel and congruent?

Back

The quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are congruent.

Tags

CCSS.HSG.CO.C.11

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 supplementary, what can be said about the other two angles?

Back

The other two angles are also supplementary.

Tags

CCSS.HSG.C.A.3

Front

What is the property of consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary.

Tags

CCSS.HSG.C.A.3

Front

How can you prove that a quadrilateral is a parallelogram using sides?

Back

If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram not only bisect each other but also can be used to prove that the figure is a parallelogram.

Front

What does it mean for a quadrilateral to have one pair of opposite sides parallel?

Back

If a quadrilateral has one pair of opposite sides that are parallel and equal in length, it is a parallelogram.

Tags

CCSS.4.G.A.2