If two rectangles ABCD and PQRS whose sides are parallel to the coordinate axes are drawn as shown in below figure then the coordinates of 'D' is ___
(5,-10)
Given B = (5,6)
Let E, F, G, H be the intersection points of these two rectangles.
AC = AE + SP + GC
= 6 + 4 + 6
= 16
BD = AC (∵ Opposite sides in a rectangle are equal)
y-coordinate D = y-coordinate of B - 16
= 6 - 16
= -10
and x-coordinate of D = x-coordinate of B (∵ BD is parallel to Y-axis)
∴ D = (5,-10)