Using 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

If ABCD is a parallelogram, what can be said about the lengths of sides AB and CD?

Back

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

Front

How do you find the length of a diagonal in a parallelogram?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you solve for x in a parallelogram when given angle measures?

Back

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

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of the sides of a parallelogram are 5 cm and 10 cm, what is the perimeter?

Back

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

Front

What is the area formula for a parallelogram?

Back

Area = base × height.