What are the coordinates of the fourth vortex of the rectangle

There are three vertices of a rectangle, namely: A (−4,5), B (−4,2), C (3,2). This question forms part of Coordinate Geometry.

let the fourth vertex be D(a,b)

in rectangle mid points of the diagonals are same

mid point of BD = mid point of AC

[(a+7)/2,(b+4)/2] = [(4+13)/2,(1-2)/2] = (17/2,-1/2)

(a+7)/2 = 17/2 and (b+4)/2 = -1/2

a+7 = 17, and b+4 = -1

a = 17-7 =10, and b = -1-4 = -5

fourth vertex D is (10,-5)

Explanation:

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a is the final : )