Geometric Construction 7



Dissect a regular triangle into four pieces and reassemble them to form a square.
  

Dissect a regular hexagon into five pieces and reassemble them to form a square.

Dissect this rectangle into three pieces and reassemble them to form a square.

Dissect this rectangle into three pieces and reassemble them to form a square.

Dissect a square into five pieces and reassemble them to form two squares with one twice as big as the other.

Show that each of these two triangles may be dissected into three triangles so the corresponding pairs are similar to each other.
 
Dissect three squares of the same size into nine pieces that can be reassembled to form one single square.

Dissect three squares of the same size into six pieces that can be reassembled to form one single square.

Dissect this figure into three pieces and reassemble them to form a square.

Assemble these five regions into one single circle.