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.

Question

Philoid · Accepted Answer

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)