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 opposite sides in a parallelogram?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent (equal in measure).

Tags

CCSS.HSG.C.A.3

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

What happens to the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

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 are only bisected.

Tags

CCSS.HSG.CO.C.11

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 110 degrees each.

Tags

CCSS.HSG.C.A.3

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if either: 1) both pairs of opposite sides are equal, 2) both pairs of opposite angles are equal, or 3) the diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Tags

CCSS.6.G.A.1