Parallelogram Rules

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

If one angle of a parallelogram is 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the other two angles are 110° each.

Front

How do you find the measure of an angle in a parallelogram?

Back

Use the property that opposite angles are equal and consecutive angles are supplementary (sum to 180°).

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360°.

Front

If the measure of angle A is 60°, what is the measure of angle C in parallelogram ABCD?

Back

Angle C is also 60° because opposite angles are equal.

Front

In parallelogram ABCD, if AB = 10 cm and BC = 5 cm, what is the length of AD?

Back

AD is also 10 cm because opposite sides are equal.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the diagonals of a parallelogram are equal, what type of parallelogram is it?

Back

It is a rectangle.

Front

How do you calculate the area of a parallelogram?

Back

Area = base × height.