Question

if three vertices of a ractangle are (-2,0)(2,0)(2,1) find the coordinate the fourth vertex

Answer 1

(-2,1)..use the distance formula or plot the points on the graph to get the answer by connecting the vertices and intersecting the resulting sides of the rectangle

Answer 2

Let the 4th vertex be D (x,y)
Diagonals of a rectangle bisect each other at O (a,b)
O divides AC in the ratio 1:1
By mid point formula
O (a,b) = ( 2+(-2)/2 , 1+0/2 )
O (a,b) = (0, 1/2)

O also divides BD in the ratio 1:1
O (a,b) = ( 2+x/2 , 0+y/2 )
O (a,b) = ( 2+x/2 , y/2 )

a = 0 = 2+x/2
2+x = 0
x= -2
b= 1/2 = y/2
y= 1

Therefore the 4th vertex is D (-2,1)