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

List the properties of a parallelogram.

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

What does it mean for diagonals to be bisected in a parallelogram?

Back

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

Front

Are the diagonals of a parallelogram congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent unless the parallelogram is a rectangle or a rhombus.

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

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 consecutive angles are 110 degrees each.

Front

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

Back

Set up an equation using the property that consecutive angles are supplementary and solve for x.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

How do you determine the height of a parallelogram?

Back

The height 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 provide information about the shape and can be used to find lengths and angles.