All About 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

The opposite angles of a parallelogram 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

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 adjacent angles are each 110 degrees.

Front

What is the relationship between adjacent angles in a parallelogram?

Back

Adjacent angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

How do you find the measure of an angle in a parallelogram if you know the measures of the other angles?

Back

Subtract the known angle from 180 degrees to find the measure of the adjacent angle.

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.

Front

How do you determine the height of a parallelogram?

Back

The height of a parallelogram is the perpendicular distance from the base to the opposite side.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what is the maximum possible length of a diagonal?

Back

The maximum possible length of a diagonal can be found using the triangle inequality, which states it cannot exceed the sum of the lengths of the two sides, so it is less than 14 cm.