Each of the images below is a link to a step-by-step geogebra applet through which it is possible to move forwards and backwards in the construction, or watch how the construction is solved in a short animation. The blue “circular” points in some applets are movable.
These applets are gathered in this this geogebra book.
square, given the median
square, given the diagonal
square, given the edge
square, given the apothem
(the apothem is the distance between the center of a regular polygon and any of its sides; it is also the radius of its inscribed circle)
rectangle, given the diagonal
rhombus, given one of the diagonals
rhombus, given the edge