Question

Also, find the value of $m$ if, coordinates of the point of intersection of the diagonals of the square $ABCD$ is $(1,m)$

Answer 1

Plot the points, $A,C$ and $D$. Join them using straight lines to complete the square.

Hence, B $=(4,4)$.
Draw the diagonals $AC$ and $BD$.
Since the diagonals of a square bisect each other, the co-ordinates of the point of intersection of the diagonals of the square $ABCD$ is given as

$(x,y)=(\frac{-2+4}{2},\frac{4+10}{2})$

$⟹(x,y)=(1,7)$

$\therefore$ the value of $m$ is $7$.