Parallelogram Properties

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are parallel and equal. 2. Opposite angles are congruent. 3. Diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Opposite sides are parallel. 2. Opposite sides are equal. 3. Diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What does it mean for diagonals to bisect each other?

Back

It means that each diagonal divides the other into two equal parts.

Front

Are the diagonals of a parallelogram congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent.

Tags

CCSS.HSG.CO.C.11

Front

In a parallelogram, what can be said about opposite angles?

Back

Opposite angles in a parallelogram are congruent.

Tags

CCSS.HSG.CO.C.11

Front

In a parallelogram, what can be said about consecutive angles?

Back

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

Tags

CCSS.HSG.C.A.3

Front

If one angle of a parallelogram is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the consecutive angles are each 110 degrees.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the sides of a parallelogram?

Back

Both pairs of opposite sides are equal in length.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1