Hree vertices of a rectangle are given. Find the coordinates of the fourth vertex. (-2, 4), (4, 0), (2, - 3)

V1 = (-2,4) = (x1, y1) →x1=-2, y1=4

V2 = (4,0) = (x2, y2) →x2=4, y2=0

V3 = (2,-3) = (x3, y3) →x3=2, y3=-3

V4 = (x4, y4) →x4=?, y4=?

V1-V2

dx=x2-x1=4 - (-2) = 4+2→dx=6

dy=y2-y1=0-4→dy=-4

V4-V3

dx=x3-x4→6=2-x4

Solving for x4:

6=2-x4→6-2=2-x4-2→4=-x4→ (-1) (4=-x4) →-4=x4→x4=-4

dy=y3-y4→-4=-3-y4

Solving for y4:

-4=-3-y4→-4+3=-3-y4+3→-1=-y4→ (-1) (-1=-y4) →1=y4→y4=1

V4 = (x4, y4) →V4 = (-4, 1)

Answer: The coordinates of the fourth vertex are (-4,1)