Get To Know The Basic Geometry

 Get To Know The Basic Geometry

What Is A Cartesian Coordinate System?

•        It is a coordinate system which specifies each point uniquely in a plane by a set of numerical coordinates.

•         Which are the signed distances to the point from two fixed perpendicular oriented lines.

•         Each reference line is called coordinate axis/axes.

• The two axes are :  x axis and y  axis

What Is Origin?

• Origin is the place where the two perpendicular axes intersect.

• The coordinate at the origin is (0,0)

•          Let’s use example below : 

     

     1.      The format of the coordinate should be  (x , y)

            2.      First consider the x-axis and check out for the value

            3.      Its -3

            4.      So we write it as (-3 , y)

            5.      Now we will consider the y-axis and check out for the value 

            6.      Its 2

             7.      Now we have found both x and y coordinates

             8.      The coordinate for the above point is (-3 , 2)

           

                   For further understanding click the link below:

                                

                                             https://www.youtube.com/watch?v=mgx0kT5UbKk

                                                   

Gradient

•          Gradient is another word for ‘slope’.

•          Higher the gradient , steeper the slope

•          To find the gradient you just need only two points

  

  ·        Assume we have the two points: 1. (X1 , Y1)

                                                                             2. (X2, Y2)  

•          The standard equation is to find gradient is

• In this situation :

•    Consider the gradients of the following lines:

•          A - has a positive gradient

•          B - has a negative gradient

•          C - no gradient

•          D - infinite gradient 

Parallel And Perpendicular Lines

•          If two lines are parallel , they both have the same gradient

•          In this situation the gradient of both lines are 2

•          If two lines are perpendicular , products of their gradients equals to -1

•          The equation is as follows :

The Distance Between Two Points

•  Assume the two points are : 1. (X1, Y1)

                                                                   2. (X2, Y2)

•  The equation  is as follows:
  

• Pythagoras’s theorem is used

Midpoint Of A Line

•         Assume the two points are : 1. (X1, Y1)

                                                            2. (X2, Y2)

• The standard equation is as follows:

Building Up An Equation For A Straight Line

You just have to follow two steps

•      .      Find the gradient ( using the two given points)

•             .Substitute the x and y coordinates to the equation and find the y – intercept (c) 

•     Special point: If a line passes via the origin the y –intercept equals to zero