Question

7. In each of the following, the co-ordinates of
the three vertices of a rectangle ABCD are
given. By plotting the given points, find, in
each case, the co-ordinates of the fourth
vertex :
(i) A (2, 0), B (8,0) and C (8,4).
(ii) A (4, 2), B (-2, 2) and D (4, -2).
(iii) A (-4, - 6), C (6,0) and D (- 4,0)
(iv) B (10, 4), C (0, 4) and D (0, - 2).

Answer 1

in rectangle diagonals are equal
by using formula
$(x1 + x3 - x2 \: ,\: \: y1 + y3 - y2)$
we can obtain fourth vertex