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 angles in a parallelogram?

Back

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

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 one angle of a parallelogram is 60 degrees, what are the measures of the other angles?

Back

The opposite angle is also 60 degrees, and the consecutive angles are 120 degrees each.

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

What can be said about the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other but are not necessarily equal in length.

Front

How do the diagonals of a rectangle compare?

Back

The diagonals of a rectangle are congruent (equal in length).

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the diagonals of a square?

Back

The diagonals of a square are congruent and bisect each other at right angles.

Tags

CCSS.HSG.CO.C.11

Front

If ABCD is a parallelogram, what can be said about the lengths of sides AB and CD?

Back

In a parallelogram, opposite sides are equal in length, so AB = CD.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: Area = base × height.

Tags

CCSS.6.G.A.1