Parallelogram Properties

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (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 equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.

Tags

CCSS.HSG.CO.C.11

Front

What does it mean for the diagonals of a parallelogram to bisect each other?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

Are the diagonals of a parallelogram congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent; they bisect each other but are not equal in length unless the parallelogram is a rectangle.

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 (equal in measure).

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

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 formula for the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1

Front

How do you find the height of a parallelogram?

Back

The height is the perpendicular distance from the base to the opposite side.

Front

What is a special type of parallelogram where all angles are right angles?

Back

A rectangle is a special type of parallelogram where all angles are right angles.

Tags

CCSS.5.G.B.4