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

List 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

Which property is NOT true for a parallelogram?

Back

Diagonals are congruent (this is true for rectangles and rhombuses, but not all parallelograms).

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if at least one of the following conditions is met: 1. Opposite sides are parallel. 2. Opposite sides are equal. 3. One pair of opposite sides is both equal and parallel.

Front

What is the relationship between the diagonals of a parallelogram?

Back

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

Front

If the lengths of the sides of a parallelogram are 10 cm and 15 cm, what can you say about the opposite sides?

Back

The opposite sides are also 10 cm and 15 cm, respectively, as opposite sides of a parallelogram are equal in length.

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 two consecutive angles are each 110 degrees (since consecutive angles are supplementary).

Front

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

Back

To find the length of a diagonal in a parallelogram, you can use the law of cosines or the properties of triangles formed by the diagonals.

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.