Properties of Parallelograms

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

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

The opposite angle is also 75 degrees, and the consecutive angles are 105 degrees each.

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

Use the formula: $$d = \frac{{\text{length of one diagonal} + \text{length of the other diagonal}}}{2}$$ .

The diagonals of a parallelogram bisect each other.

The perimeter is $$P = 2(10 + 15) = 50 cm$$ .

The area is given by the formula: $$A = \text{base} \times \text{height}$$ .

The opposite sides of a parallelogram are both parallel and equal in length.

The ratio of the lengths of the sides is 4:3.