I am having a problem constructing this square for some reason as i am not sure where to put the point X:
Let ABCD be a square and X a point such that A and X are on opposite sides of CD. The lines AX and BX intersect CD in Y and Z respectively.
Is CD perhaps a diagonal? If so how can BX intersect CD in Z. If it is not a diagonal: Where must X be i.e. what are the opposite sides of X? and if they are not diagonals again how can BX intersect CD?