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 in length. 2. Opposite angles are equal. 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 is the relationship between the angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (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

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

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; they bisect each other but can be of different lengths.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for finding the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1

Front

In parallelogram CARS, if m

Back

Set m

Tags

CCSS.HSG.CO.C.11

Front

What is the significance of opposite sides being equal in a parallelogram?

Back

It confirms that the shape is a parallelogram and helps in proving other properties.

Tags

CCSS.HSG.CO.C.11