Parallelograms with Diagonals

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.

Front

How do you find the measure of an angle in a parallelogram?

Back

To find the measure of an angle in a parallelogram, use the property that opposite angles are equal and consecutive angles are supplementary (add up to 180 degrees).

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 one angle of a parallelogram is 120 degrees, what are the measures of the other angles?

Back

The opposite angle is also 120 degrees, and the two adjacent angles are each 60 degrees.

Front

How do you solve for x in a parallelogram?

Back

Set up an equation based on the properties of the parallelogram, such as equal opposite angles or the sum of angles being 180 degrees.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 10 cm and the height is 5 cm, what is the area?

Back

Area = 10 cm × 5 cm = 50 cm².

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

What is the difference between a rectangle and a parallelogram?

Back

A rectangle is a type of parallelogram with all angles equal to 90 degrees.