Question

The endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). If the coordinates of the 3rd vertex are (1, 0), what are the coordinates of the 4th vertex?
(7, -12)
(7, -8)
(-8, -4)
(-4, -12)

Answer 1

Hint: use the property that the diagonals of a parallelogram bisect each other.
So the mid-point of (0,-8) and (8, -4) is the same as that of the other diagonal (1,0) and (x,y).
the mid point formula is ((x1+x2)/2, (y1+y2)/2)