Three vertices of a rectangle ABCD are A(3, 1), B(–3, 1) and C(–3, 3). Plot these points on a graph paper and find the coordinates of the fourth vertex D.
Let the three vertices of rectangle ABCD be A (3, 1), B (-3, 1) and C (-3, 3)
Now, on plotting these points on the graph paper and by joining the points we get:
A lies in thye first quadrant while B and C lie in the second quadrant
Let us assume D be the fourth vertex of the rectangle
∴ Abscissa of D = Abscissa of A = 3
And, Ordinate of D = Ordinate of C = 3
Hence, Coordinate of the fourth vertex, D = (3, 3)