Properties of Parallelograms

Front

What are the properties of a parallelogram?

Back

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

Front

What is the definition of a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

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

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

The perimeter is 2(5 cm + 12 cm) = 34 cm.

Front

What does it mean for angles to be congruent in a parallelogram?

Back

Congruent angles are angles that have the same measure.

Front

If the measure of angle A in a parallelogram is 60 degrees, what is the measure of angle B?

Back

Angle B is 120 degrees, as consecutive angles are supplementary.

Front

How do you find the area of a parallelogram?

Back

Area = base × height.

Front

What is the significance of opposite sides being equal in a parallelogram?

Back

It ensures that the shape is a parallelogram and helps in proving other properties.

Front

If the diagonals of a parallelogram are equal, what type of parallelogram is it?

Back

It is a rectangle.