The length of the line joining the first 2 points = (5 - 3) = 2 units. This is a vertical line because the 2 x coordinates ( -6 and - 6) are equal.
The line joining ( -6 , 3) and (2 , 3) is horizontal and is 2 - -6 = 8 units long.
Because we have a rectangle the point we need to find must have x coordinate of 2 and the y coordinate will be 2 more than the y coordinate 3.
.So it is (2, 5),
The coordinates of the fourth vertex of the rectangle is
using a graphing tool
Plot the vertices of the rectangle
The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C
The intersection point is
see the attached figure
Then you'll see the missing point is (2, 5).
Vector AB= Vector CD
• xB-xA= xD-xC
So the fourth vertex of the rectangle is D(2,5).
(−6, 3), (−6, 5), (2, 3)