Properties of Parallelograms

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are parallel. 2. Opposite sides are equal in length. 3. Opposite angles are congruent. 4. Consecutive angles are supplementary. 5. 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

In parallelogram ABCD, if AB = 10 cm and CD = 10 cm, what can be said about the lengths of AD and BC?

Back

AD = BC = 10 cm (opposite sides are equal in length).

Front

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

Back

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

Front

If the length of one side of a parallelogram is 8 cm and the length of the adjacent side is 6 cm, what is the perimeter?

Back

The perimeter is 2(8 cm + 6 cm) = 28 cm.

Front

What type of quadrilateral has both pairs of opposite sides parallel?

Back

A parallelogram.

Front

In parallelogram ABCD, if angle DAB = 50 degrees, what is angle ABC?

Back

Angle ABC = 50 degrees (opposite angles are congruent).

Front

Which of the following is NOT a property of a parallelogram: 1. Opposite sides are equal 2. All angles are right angles 3. Diagonals bisect each other 4. Opposite sides are parallel

Back

All angles are right angles (this is true only for rectangles, a specific type of parallelogram).