Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with two sets of parallel sides.

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.

Front

If ABCD is a parallelogram, what can be said about the angles?

Back

The opposite angles of a parallelogram are equal.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

How do you find the length of a diagonal in a parallelogram?

Back

Use the distance formula or apply the law of cosines if angles are known.

Front

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

Back

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

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals bisect each other.

Front

If the lengths of the sides of a parallelogram are 5 cm and 10 cm, what is the perimeter?

Back

Perimeter = 2 × (length + width) = 2 × (5 + 10) = 30 cm.

Front

What is the difference between a rectangle and a parallelogram?

Back

A rectangle is a parallelogram with right angles.

Front

If the base of a parallelogram is 8 cm and the height is 5 cm, what is the area?

Back

Area = base × height = 8 × 5 = 40 cm².