Question

$A$ $(-2,4),C(4,10)$ and $D(-2,10)$ are the vertices of a square $ABCD$. Use the graphical method to find the co-ordinates of the fourth vertex $B$.

The co-ordinates of the mid-point of BC is $(m,7)$. The value of $m$ is

Answer 1

Plot the points $A,C$ and $D$.

Join them using straight lines to complete the square. Hence $B$ $=(4,4)$.

Mid point of $BC$ $=(4,7)$