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In Euclidean plane geometry, a quadrilateral is a polygon with four sides (or 'edges') and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on. The word quadrilateral is made of the words quad (meaning "four") and lateral (meaning "of sides").
Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave. The interior angles of a simple quadrilateral add up to 360 degrees of arc. (Source: From Wikipedia)
Study of various classifications of quadrilaterals:
1) Square
2) Rectangle
3) Parallelogram
4) Rhombus
5) Trapezium
6) Kite
Now, we are going to study the various types of quadrilaterals and their properties.
Study of various types of quadrilaterals
Rectangle:
The opposite sides are equal
Each of the angle is a right angle.
The diagonal are equal and bisect each other.
Perimeter of the rectangle = 2(width) + 2(length)
Area of the rectangle= (length)(width)
Square:
a rectangle with pair of adjacent sides equal is a square
opposite sides are equal
All the angles are right angle
The diagonals are equal
The diagonals bisect each other.
Perimeter of the square = 4(side)
Area of the square = (side) 2
Parallelogram:
Opposite sides are equal in length
Opposite sides are parallel
Opposite angles are equal
Adjacent angles are supplementary
Perimeter of the parallelogram = 2(width) + 2(length)
Area of the parallelogram = (width) (height).
Study of few more types of quadrilateral:
Rhombus:
All sides are equal in length
Adjacent angles are supplementary
Opposite angles are equal
Diagonals form right angles
Diagonals bisect each other
Diagonals bisect end angles
Perimeter of the rhombus = 4(side)
Area of the rhombus =( 1/2)*d1* d2. Where, d1 and d2 are the diagonals of the rhombus.
Trapezoid:
A trapezoid has one pair of opposite sides parallel. The parallel sides are called bases of the trapezoid.
It is called an isosceles trapezoid if the sides that are not parallel are equal in length and both angles coming from a parallel side are equal.
Perimeter of the trapezoid = Addition of all sides.
Area of the trapezoid = 1/2(height)(base1+ base2).
Kite:
A kite is a quadrilateral with two pairs of adjacent that are equal in length.
The angles are equal where the pairs meet.
Diagonals meet at a right angle.
One of the diagonal of the kite bisects the other.
In Math, the ordered pair of an ordinate which is (x, y) and is its second component, that is y. It is the second term by which a point is referred to a system, while the system functions present in it.
stuudy ordinate Example:
The point (14,-20) has an ordinate of -20.
The point (-9,6) has an ordinate of 6.
Study ordinate cartesian coordinate system :
Study a coordinate system which specifies in every point is unity in a plane by which the couple of numerical coordinates, which are the signed space from which point of two fixed directed lines as perpendicular, and in the same measure of length
Every reference line present is called coordinate axis or the system present in it, and the point where they assemble is called origin. It can also be given as the position of the perpendicular projection present at the point onto the two axes, expressed as a sign distances from the origin.
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