Another Dudeney Dissection Here we consider Dudeney's six-piece dissection of a regula...

Another Dudeney Dissection Here we consider Dudeney's six-piece dissection of a regular pentagon into a square. The first step is to dissect the pentagon to form a parallelogram. Because we know how to dissect a parallelogram into a square, the two resulting dissections of the parallelogram are superimposed to yield pieces that can be made into a square. This process is shown in the figure. Give your own explanation of how to perform the desired dissection. Verify that it works, according to basic geometric properties.

DISSECTION OF REGULAR PENTAGON TO FORM A SQUARE