The discovery of mathematical figures is one of the greatest achievements of humanity. Due to the development of different types of figures, we can create 2D and 3D shapes. The development of figures is not only limited to mathematics, but it has wide applications.
Today, these figures used in every field help create some good shapes. Everything we observed today is in the shape of different mathematical figures; for example, when we observe our homes, we find different types of shapes in different things. For instance, the TV has a rectangular shape; similarly, the bed is also in the shape of a rectangle. It means that in our daily life, we witness different figures. This article will discuss one of the most notable figures in mathematics: Parallelogram.
A parallelogram is a geometrical figure or shape with parallel sides. In other words, it is a shape with four sides and parallel opposite sides. It is a type of quadrilateral due to the presence of four sides and under which parallel sides are of equal length. One hundred eighty degrees is the sum of adjacent angles of the Parallelogram. When we talk about 2D shapes, we already know there are numerous types of 2D shapes; for example, circles, squares, rectangles, rhombus, etc., all are 2D shapes. Despite being 2D figures, they have different sets of properties, and because of that, they have different formulas to find the area or perimeter of the shapes.
Let us now learn here a parallelogram's definition, formulas, and properties.
Parallelogram is a type of Quadrilateral that have two sides in parallel form. The most striking feature of a parallelogram is that its opposite sides are equal in length. Also, opposite angles of the Parallelogram are equal in measure. The interior angles of the Parallelogram on the same side of the transversal are supplementary. Three hundred sixty degrees is the sum of all the interior angles of the Parallelogram. Parallelepiped is the shape that developed when we observed Parallelograms in 3D.
The area and perimeter of the Parallelogram depend upon the sides of the Parallelogram. For instance, its area depends upon the base and height of the figure, whereas the perimeter is the length of the four sides of the Parallelogram. Some figures in mathematics have similar properties with parallelograms, for instance, squares and rectangles. These two figures have similar properties to Parallelogram. Rhombus is another figure similar to a parallelogram; the main difference between a rhombus and Parallelogram is that a rhombus has all sides equal.
Another figure in a similar family is a trapezium; if one parallel side is parallel and the other two are non-parallel, then the figure is a trapezium.
Some of the most important facts of the Parallelogram are-
Real-Life Examples of Parallelogram:
Everything around us is in the shape of anything. We found different types of shapes when we looked around. We observed different types of parallelogram shapes around us; for instance, we found parallelograms in buildings, paper, boxes, etc. Some of the most notable real-life examples of Parallelogram are-
In today's times, many buildings are developed in the shape of parallelograms. Due to advancements in technology and shape development, architecture developed hybrid models of the building by mixing different shapes, giving them unique shapes. When we observed around us, we witnessed numerous Parallelogram-shaped buildings. The most remarkable example of a parallelogram-shaped building is the Dockland Office Building in Hamburg, Germany.
When we construct our houses, we need several things. One of the most important things that increase the beauty of our home is the type of tiles used in construction. Today different types of tiles are used to increase the house's attractiveness. The most common tiles shape is a parallelogram. Parallelogram-shaped tiles are used in buildings, houses, and offices to increase the beauty of the place.
We use several things in daily life in the shape of a Parallelogram. For example, everyone is familiar with the use of erasers in school times. Erasers also come in several shapes and sizes, but the most common shape of an eraser is Parallelogram. The faces of this eraser are in the shape of a parallelogram.
In the above paragraphs, we discussed the definition of Parallelogram. Now we are going to discuss some of the special cases of Parallelogram. There are some figures which considered parallelograms because of some properties. Some of the special cases are-
Properties of Parallelogram:
Numerous figures are similar to parallelograms. To identify the Parallelogram, the best way is to find its properties. The properties of Parallelogram are very important because it helps to create shape perfectly. We already discussed the definition of Parallelogram and some of the special cases of Parallelogram, but what makes Parallelogram a true figure? Let us discuss this now. Firstly Parallelogram is a non-self-intersecting quadrilateral, which makes it different from the other figures. Let us now discuss some of the most remarkable properties of the Parallelogram-
Thus, above discussed property of Parallelogram is sufficient to identify any figure as Parallelogram. And if any figure satisfies any of the statements, it is a quadrilateral, and ultimately it is a parallelogram.
Some Other Useful Properties of Parallelogram
Formulas Used in Parallelogram:
1. Area of Parallelogram:
The area of a parallelogram is defined as the region occupied by a parallelogram in a two-dimensional plane. The formula to find the area of Parallelogram is -
Area = Base × Height
2. Perimeter of Parallelogram:
The perimeter of the Parallelogram is the total distance covered by the boundaries of the Parallelogram. First, we have to find the length and breadth of a parallelogram to find its perimeter. And Parallelograms have opposite sides in equal length, so the formula to find the perimeter of the Parallelogram is-
Perimeter = 2 (a+b)
Where a and b are sides of the Parallelogram.
Parallelogram is one of the essential figures in mathematics.
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