Properties of Parallelograms

Front

What are the properties of 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 happens to the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

Are the opposite sides of a parallelogram congruent?

Back

Yes, the opposite sides of a parallelogram are congruent.

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 consecutive angles are 110 degrees each.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the diagonals of a parallelogram and its sides?

Back

The diagonals of a parallelogram do not necessarily have to be equal, but they bisect each other.

Front

How do you find the length of a side in a parallelogram if you know the lengths of the diagonals and the angle between them?

Back

You can use the Law of Cosines to find the length of a side.

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

Front

In a parallelogram, what can be said about the angles formed by the diagonals?

Back

The angles formed by the diagonals are equal.

Tags

CCSS.HSG.CO.C.11

Front

If a parallelogram has one angle measuring 60 degrees, what can be inferred about 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