Quadrilateral is defined as the four-sided polygon, having four vertices and four angles thus formed by joining four non-collinear points. For any polygon to be a quadrilateral it must satisfy two conditions: the sum of all the four interior angles should be 360 and it should be a closed figure with 4 sides. Properties of Rhombus show that it is a type of Quadrilateral.
There are 5 types of quadrilaterals called Rectangle, Square, Parallelogram, Rhombus, and Trapezium depending upon the properties of their sides and angles.
In order to study rhombus, we need to know little about parallelogram which is a special type of quadrilateral having the opposite sides of equal length and the opposite angles are of equal measure i.e. opposite sides are parallel as well.
A rhombus is defined as the special type of parallelogram (quadrilateral in which opposite sides are equal and parallel) where it also has four equal sides i.e four all the four sides are of the same length and the opposite sides are parallel. Along with that the diagonals in the case of rhombus also bisect each other at right angles. The rhombus in other words is also known as a diamond or rhombus diamond. In plural form, it is called rhombi or rhombuses.
A rhombus is a special type of parallelogram as it satisfies all the properties of a parallelogram. Thus we can say that rhombus also has its two diagonals as its two lines of symmetry, the same as in the case of a parallelogram. The area of the rhombus is defined as the region that it includes or covers in its two-dimensional plane.
Area of Rhombus can be found using,
Area = (diagonal1 x diagonal 2)/2 square units
The perimeter of the rhombus is the length of its total periphery or outer boundaries i.e is in other words it is the sum of the lengths of all sides of the rhombus. Since we know all the sides of the rhombus are of equal length thus the sum of all sides will be four times the size of the rhombus.
Thus, Perimeter of Rhombus = 4(Side)
Square is a special type of rhombus as it has all its equal and opposite sides parallel to each other. In the case of square, all angles should be 90 which is not necessary in the case of a rhombus. Since the square satisfies all the properties of the rhombus thus it can be termed as a special type of rhombus.
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