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°.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180°.

Front

If one angle of a parallelogram is 51°, what is the measure of the opposite angle?

Back

The opposite angle is also 51°.

Front

If one angle of a parallelogram is 129°, what are the measures of the other angles?

Back

The opposite angle is 129°, and the consecutive angles are both 51°.

Front

How do you find the value of x in a parallelogram when given angles?

Back

Use the properties of angles: set up equations based on the fact that opposite angles are equal and consecutive angles are supplementary.

Front

What is the formula for the area of a parallelogram?

Back

The area (A) of a parallelogram is given by the formula A = base × height.

Front

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

Back

The area is A = 10 cm × 5 cm = 50 cm².

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.