Properties of Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. Diagonals bisect each other.

Front

In a parallelogram, the sum of the interior angles is __________.

Back

360°.

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 adjacent angles are 110° each.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals bisect each other.

Front

Are the diagonals of a parallelogram congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent unless it is a rectangle.

Front

If two sides of a quadrilateral are parallel and equal in length, what can be concluded?

Back

It may be a parallelogram, but further information is needed about the other sides.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 10 cm and the height is 5 cm, what is the area?

Back

Area = 10 cm × 5 cm = 50 cm².

Front

In a parallelogram, if one angle measures 60°, what is the measure of the adjacent angle?

Back

The adjacent angle measures 120°.