Quadrant |
x-coordinate |
y-coordinate |
Ist Quadrant |
+ |
+ |
IInd quadrant |
- |
+ |
IIIrd quadrant |
- |
- |
IVth quadrant |
+ |
- |
Distance between the points AB is given by
Distance of Point A from Origin
1) You will be given coordinates of the two point A , B
2) If the problem is to find bisection, then you can simply found the mid point using
3) If the problem is to find trisection(three equal parts of the line ).Let us assume the point are P and Q, then AP=PQ=QB
Now P divides the line AB into 1:2 part
While Q divides the line AB into 2:1 part
So we can use section formula to get the coordinate of point P and Q
4) If the problem is to finnd four equal parts .Let us assume the point are P ,Q And R such that AP=PQ=QR=RB
Now P divides the line AB into 1:3 part
Q divides the line AB into 1:1 part
R divides the line AB into 3:1 part
So we can use section formula to get the coordinate of point P ,Q and R
1) We need to assume that if they are not collinear,they should be able to form triangle.
We will calculate the area of the triangle,if it comes zero, that no triangle can be found and they are collinear
Area of Triangle | Three vertices will be given,you can calculate the area directly using formula |
Area of Square | Two vertices will be given, we can calculate either side or diagonal depending on vertices given and apply the square area formula |
Area Of rhombus |
Given: all the vertices coordinates Two ways 1) Divide the rhombus into two triangle. Calculate the area of both the triangle and sum it 2) Calculate the diagonal and apply the Area formula |
Area of parallelogram |
Three vertices are sufficent to find the area of parallelogram Calculate the area of the traingle formed by the three verticles and double it to calculate the area of parallelogram |
Area of quadilateral |
Given: all the vertices coordinates Divide into two triangle. Calculate the area seperately and sum it |