Properties of Parallelograms and Rectangles

Front

What is a parallelogram?

Back

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

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are parallel and congruent. 2. Opposite angles are congruent. 3. Consecutive angles are supplementary. 4. The diagonals bisect each other.

Front

What is a rectangle?

Back

A rectangle is a parallelogram with four right angles (90 degrees).

Front

What are the properties of a rectangle?

Back

1. Opposite sides are parallel and equal. 2. All angles are right angles. 3. The diagonals are equal in length and bisect each other.

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 one angle of a parallelogram is 60 degrees, what are the measures of the other angles?

Back

The opposite angle is also 60 degrees, and the other two angles are 120 degrees each.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

What is NOT a property of a parallelogram?

Back

All sides are congruent.

Front

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

Back

The perimeter is 30 cm (P = 2(length + width) = 2(5 + 10)).

Front

If the lengths of the diagonals of a rectangle are 13 cm and 13 cm, what can be said about the rectangle?

Back

The rectangle is a square if all sides are equal.