02 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 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

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 other two angles are 110 degrees each.

Front

How do you find the area of a parallelogram?

Back

Area = base × height.

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 the sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

Perimeter = 2 × (length + width) = 2 × (5 cm + 12 cm) = 34 cm.

Front

What is the formula for the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

Front

If two sides of a parallelogram are equal, what type of parallelogram is it?

Back

It is a rhombus.

Front

What is the difference between a rectangle and a rhombus?

Back

A rectangle has four right angles, while a rhombus has all sides equal in length.

Front

If the lengths of the diagonals of a parallelogram are 10 cm and 24 cm, what is the relationship between them?

Back

The diagonals bisect each other but are not necessarily equal in length.