Parallelogram Properties

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

How do you find the area of a parallelogram?

Back

Area = base × height.

Front

What is the relationship between the angles in a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees, and consecutive angles are supplementary.

Front

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

Back

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

Front

What is the formula for the perimeter of a parallelogram?

Back

Perimeter = 2 × (base + height).

Front

How do the diagonals of a parallelogram behave?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

What is a special type of parallelogram where all angles are right angles?

Back

A rectangle is a special type of parallelogram with all right angles.

Front

What is a rhombus?

Back

A rhombus is a type of parallelogram where all four sides are of equal length.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

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