Parallelogram Properties

Front

What defines a parallelogram?

Back

A parallelogram is defined as a quadrilateral with opposite sides that are both parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

What is true about the opposite angles of a parallelogram?

Back

In a parallelogram, opposite angles are equal.

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

How do you determine if a quadrilateral is a parallelogram using its sides?

Back

If both pairs of opposite sides are equal in length, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What can be said about the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

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

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 significance of the properties of a parallelogram in real-world applications?

Back

The properties of a parallelogram are used in various fields such as architecture, engineering, and design to ensure structural integrity and aesthetic appeal.

Tags

CCSS.HSG.CO.C.11

Front

How can you prove that a quadrilateral is a parallelogram using its angles?

Back

If one pair of opposite angles is equal, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the lengths of the diagonals in a parallelogram?

Back

The lengths of the diagonals in a parallelogram can be different, but they bisect each other.

Tags

CCSS.HSG.CO.C.11