Geometry: Basic Ideas

Constructing an Isosceles Right Triangle with Given Hypotenuse PQ

by Lana Olivo

1.) Fold a line through segment PQ lenghtwise down the line.

2.) Fold a perpendicular line through point P matching the line PQ on top of itself.

3.) Make a bisector through point P by matching your perpendicular fold on step 2 and line PQ.

4.) Last make a line through point Q, folding the bisector through point P found in step 3 on top of itself and folding through point Q simultaneously.