Question

Write the co-ordinates of the midpoint of the line segment joining the points A(x1, y1) and B (x2, y2).​

Answer 1

The co-ordinates of the mid-point of the line segment joining the points $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$ are $(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2})$.

Tips :

If a point $C$ divides the line segment joining the points $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$ into the ratio $m:n$, then the coordinates of the point $C$ be

$\quad(\dfrac{nx_{1}+mx_{2}}{m+n},\dfrac{ny_{1}+my_{2}}{m+n})$

Step-by-step explanation:

Here, given $m:n=1:1$, since we have to find the required mid-point.

Thus the required coordinates of the mid-point are

$\quad (\dfrac{1x_{1}+1x_{2}}{1+1},\dfrac{1y_{1}+1y_{2}}{1+1})$

$\Rightarrow (\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2})$