Using Properties of Parallelograms

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

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

AB = CD (opposite sides are equal in length).

Use the properties of triangles formed by the diagonals and apply the Pythagorean theorem if necessary.

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

The opposite angle is also 70 degrees, and the consecutive angles are 110 degrees each.

Set up an equation using the properties of angles in a parallelogram and solve for x.

The diagonals of a parallelogram bisect each other.

The perimeter is 2(5 cm + 10 cm) = 30 cm.

Area = base × height.