Attachment 174

Attachment 175

Goal: To transform a unit square into a parallelogram in which (a) the diagonals are parallel to the unit square's diagonals, (b) the longest diagonal is equal in length to either of the unit square's diagonals, and (c) the diagonals intersect at the midpoint of the longest diagonal.

Using basic algebra, not trigonometry or matrix format, what is/are the transformation equation(s)?