7.2 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 sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent (equal in length) and parallel.

Tags

CCSS.HSG.CO.C.11

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 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are each 110 degrees (supplementary to 70 degrees).

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 find the length of a diagonal in a parallelogram?

Back

The length of a diagonal can be found using the distance formula or by applying the law of cosines, depending on the information given.

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

Front

If the base of a parallelogram is 8 cm and the height is 5 cm, what is the area?

Back

The area is 40 cm² (Area = 8 cm × 5 cm).

Tags

CCSS.6.G.A.1

Front

What is the relationship between 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