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

The opposite angles of a parallelogram are congruent, meaning they have the same measure.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning their measures add up to 180 degrees.

Front

If one angle of a parallelogram measures 70 degrees, what are the measures of the other angles?

Back

The opposite angle also measures 70 degrees, and the consecutive angles each measure 110 degrees.

Front

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

Back

Set up an equation using the properties of angles (congruent or supplementary) and solve for x.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using 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, meaning they cut each other in half.

Front

If the lengths of the sides of a parallelogram are 5 cm and 7 cm, what can be said about the opposite sides?

Back

The opposite sides of a parallelogram are equal in length, so the other two sides will also be 5 cm and 7 cm.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram are not necessarily equal, but they bisect each other.