If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :
Answer & explanation
Correct answer: option 1
Let (x, y) be the coordinates of the fourth vertex. Since the diagonals of a rhombus bisect each other,
Therefore
(x+3)/2 = (2 - 2)/2,
x = -3
(y+4)/2 = (-1 + 3)/2,
y = -2
=> x = -3, y = -2