A quadrilateral is a whole shape and a sort of a four-sided polygon with four peaks and four angles. It is created by linking four distinct non-linear points. The sum of the inside angles of a quadrilateral and the outer angles of a quadrilateral always 360 degrees. The word quadrilateral is derived from the Latin word Quadratus, which means "four",and Latus, which means "sides". Not all four sides of a quadrilateral need to be similar in length. A quadrilateral is a two dimensional structure that has four sides or edges and also has four corners or vertices. The angles are located at the four vertices or the four corners of the quadrilateral. If PQRS is a quadrilateral, then the angles at the vertices are Angle P, Angle Q, Angle R and Angle S and the sides of the quadrilateral are PQ, QR, RS and SP. If the opposite vertices of the quadrilateral are connected, then a diagonal is created. Quadrilaterals will generally be of various shapes with four sides such as a rectangle, square, trapezoid, rhombus and parallelogram. The categories of quadrilaterals are identified based on the lengths and angles of their sides. Every types of quadrilateral has four sides. The categories of quadrilaterals are as follows:
1) Trapezium
2) Parallelogram
3) Squares
4) Rectangle
5) Rhombus
6) Kite
Differently, quadrilaterals are identified as
1) Concave Quadrilateral: Both the diagonals of a quadrilateral are fully curved inside a shape.
2) Convex Quadrilateral: One of the diagonal rests halfway or entirely outside of the shape
3) Intersecting Quadrilateral: Intersecting quadrilaterals are not easy quadrilaterals in which the duo of the non adjacent sides converge. These types of quadrilaterals are known as self-converging or assimilated quadrilaterals.
Characteristics of Trapezium
a) Only a single pair of the opposite side of a trapezium corresponds to each other
b) The two adjoining sides of a trapezium are supplementary (180 degrees)
c) The diagonals of a trapezium split each other in the equal ratio.
Characteristics of a parallelogram
a) The opposite sides of the parallelogram are of equal length
b) The opposite sides are corresponding to each other
c) The diagonals of a parallelogram bisect each other
d) The opposite angles are of similar measure
e) The sum of the two adjoining angles of a parallelogram is equal to 180 degrees.
Characteristics of a Square
a) All the sides of the square are equal.
b) The sides are corresponding to each other
c) All the inside angles of a square are at 90 degrees.
d) The diagonals of a square bisect each other vertically.
Characteristics of a rectangle
a) The distinct sides of a rectangle are of equal length
b) The opposite sides of a rectangule are corresponding to each other
c) All the interior angles of a rectangle are 90 degrees
d) The diagonals of a rectangle bisect each other.
Characteristics of a rhombus
a) Every four sides of a rhombus are of equal size
b) The opposite sides of a rhombus are corresponding to each other.
c) The opposite angles are of equal size
d) The sum of the two adjoining angles of a rhombus is equal to 180 degrees.
e) The diagonals of a rhombus bisect each other vertically.
Characteristics of a kite
a) The duo of adjoining sides of a kite are of the equal length.
b) The hugest diagonal of a kite bisect the smallest diagonal.
c) Only a duo of opposite angles are of similar measure.
Mensuration of a rectangle
The area of a rectangule is solved by the following formula = length * width
The perimeter of a rectangle is solved by the following formula = 2( length + breadth)
Mensuration of a square
The area of a square is solved by the following formula = side *side
The perimeter of a square is solved by the following formula = 4* side
Mensuration of a parallelogram
The area of a parallelogram is solved by the following formula = base* height
The perimeter of a parallelogram is solved by the following formula = 2(base+ height)
Mensuration of a rhombus
The area of a rhombus is solved by the following formula = 1/2*1st diagonal of a kite* 2nd diagonal of a kite
The perimeter of a rhombus is solved by the following equation = 1/2* 1st diagonal of a rhombus * 2nd diagonal of a rhombus
The perimeter of a rhombus is solved by the following equations = 4* side
Mensuration of a kite
The area of a kite is solved by following equation = 2(x+y) where x and y are the interconnecting pairs
