Properties of Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides 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 congruent, meaning they are equal in measure.

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 (since they are supplementary).

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 degrees.

Front

How do you find the length of a side in a parallelogram given the lengths of the other sides?

Back

In a parallelogram, opposite sides are equal in length. Therefore, if you know one side, the opposite side will have the same length.

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

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

Back

The area is 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, meaning they cut each other in half.

Front

If the diagonals of a parallelogram are 12 cm and 16 cm, what is the length of each half of the diagonals?

Back

Each half of the diagonals will be 6 cm and 8 cm respectively.