Properties of Parallelograms

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 angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal.

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

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

How do you find the area of a parallelogram?

Back

The area of a parallelogram can be found using the formula: Area = base × height.

Tags

CCSS.6.G.A.1

Front

What is the significance of the diagonals in 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

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

What is the relationship between the lengths of the sides of a parallelogram?

Back

In a parallelogram, opposite sides are equal in length.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if either one pair of opposite sides is both parallel and equal in length, or if both pairs of opposite sides are parallel.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the perimeter of a parallelogram?

Back

The perimeter of a parallelogram is given by the formula: Perimeter = 2 × (base + height).

Tags

CCSS.3.MD.D.8