Question:
The coordinates of the fourth vertex of the rectangle formed by the points (0, 0), (2, 0), (0, 3) are
(a) (3, 0)
(b) (0, 2)
(c) (2, 3)
(d) (3, 2)
Solution:
We have to find the co-ordinates of forth vertex of the rectangle ABCD.
We the co-ordinates of the vertices as (0, 0); (2, 0); (0, 3)
Rectangle has opposite pair of sides equal.
When we plot the given co-ordinates of the vertices on a Cartesian plane, we observe that the length and width of the rectangle is 2 and 3 units respectively.
So the co-ordinate of the forth vertex is
So the answer is (c).