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 opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal.

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

How do you find the measure of an angle in a parallelogram if one angle is known?

Back

If one angle is known, the opposite angle is equal to it, and the adjacent 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.

Front

If one angle of a parallelogram measures 60 degrees, what are the measures of the other angles?

Back

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

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: 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 relationship between the sides of a parallelogram?

Back

In a parallelogram, opposite sides are equal in length.

Front

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

Back

Set up an equation using the properties of angles (e.g., opposite angles are equal, adjacent angles are supplementary) and solve for x.