What is parallelogram

Johnson, R. Boston, MA: Houghton Mifflin, p. Yaglom, I. Geometric Transformations I. New York: Random House, pp. Weisstein, Eric W. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Walk through homework problems step-by-step from beginning to end. Hints help you try the next step on your own.

Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. MathWorld Book. Wolfram Web Resources ». Created, developed, and nurtured by Eric Weisstein at Wolfram Research. It is mainly divided into three special types:. A rectangle is a parallelogram with two pairs of equal and parallel opposite sides and four right angles.

Every two-dimensional figure has two basic formulas area as well as the perimeter. Let us discuss these two formulas of a parallelogram in this section. The area of a parallelogram is the space enclosed between the four sides of a parallelogram. It can be calculated if we know the length of the base and the height of the parallelogram and it is measured in square units like cm 2 , m 2 , and inch 2.

Observe the following parallelogram which shows the base and the height. Consider the parallelogram PQRS with base b and height h. The perimeter of a parallelogram is the length of its outline and hence it is equal to the sum of all its sides. Applying the parallelogram properties, we know that the opposite angles are equal.

We also know that the adjacent angles of a parallelogram are supplementary. In geometry, a quadrilateral is called a parallelogram.

A parallelogram has its opposite sides parallel and equal in length. Few examples of a parallelogram are rhombus, rectangle, and square. All parallelograms are quadrilaterals but all quadrilaterals are not necessarily parallelograms. For example, a trapezoid is a quadrilateral, but not a parallelogram. For a quadrilateral to be a parallelogram, all the opposite sides must be parallel and equal to each other. A parallelogram is a special kind of quadrilateral in which the opposite sides are parallel and equal.

Yes, a rhombus is a parallelogram in which the opposite sides are parallel and the opposite angles are congruent. Theorem 4 : If one pair of opposite sides in a four sided figure are both opposite and parallel, then the figure is a parallelogram.

Definition 2 : A rectangle is a quadrilateral where all four angles are the same size. Theorem 6 : A rectangle is a parallelogram if and only if the diagonals are the same length.