7.3 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 the opposite angles in a parallelogram?

Back

The opposite angles in 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

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 is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are 110 degrees each.

Front

In a parallelogram, if one side is 10 cm, what is the length of the opposite side?

Back

The length of the opposite side is also 10 cm.

Front

What does it mean for diagonals to bisect each other in a parallelogram?

Back

It means that each diagonal divides the other into two equal parts.

Front

If the lengths of the sides of a parallelogram are 5 cm and 12 cm, what can be said about the lengths of the opposite sides?

Back

The opposite sides will also be 5 cm and 12 cm respectively.

Front

How do you find the area of a parallelogram?

Back

The area of a parallelogram is found using the formula: Area = base × height.

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.