Question

coordinates of the mid point of the line segment joining the points (x1,y1) and (x2,y2) are​

Answer 1

Answer:

co-ordinates of mid point is

$( \frac{x1 + x2}{2} \: \: . \: \frac{y1 + y2}{2} \: )$

Answer 2

The coordinates of the mid point of the line segment joining the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are​ $(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2})$.

Step-by-step explanation:

Let M be the midpoint  of the line segment joining the points $A(x_{1},y_{1})$ and  $B(x_{2},y_{2})$.

To find, the mid point = ?

M divides AB in the ratio = 1 : 1

By sectional formula, the co-ordinate  are

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

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

Hence, the coordinates of the mid point of the line segment joining the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are​ $(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2})$.