Question

A(3, 3), B(3, 6), and C(7, 6) are three vertices of a rectangle. What are the coordinates of the fourth vertex of the rectangle?

Answer 1

let fourth vertices of rectangle is D (x,y)

we know,
rectangle is a type of parellogram so, midpoint of diagonal of rectangle conside with one point .
so,
mid point of AC =midpoint of BD

{(3+7)/2 , (3+6)/2 } = {(3+x)/2 , (6+y)/2}

5 = (3+x)/2

x = 7

again,

9/2 =(6+y)/2

y= 3

hence, D=(7,3)