Answer:
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)
Step-by-step explanation: