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.

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

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

Back

The diagonals of a parallelogram bisect each other.

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 consecutive angles are 110° each.

Front

How do you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Both pairs of opposite sides are parallel. 2. Both pairs of opposite sides are equal. 3. One pair of opposite sides is both parallel and equal.

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 lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

The perimeter is 2(5 cm + 12 cm) = 34 cm.

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°.

Front

If the diagonals of a parallelogram are equal, what can be said about the parallelogram?

Back

If the diagonals are equal, the parallelogram is a rectangle.

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.