rectangle
When constructing rectangle HGFI, I started with circle A and copied and pasted it to create circle B so they were congruent circles. I connected the circles at points D and C. I then drew Circle D, using D as the midpoint and line AD as the radius. Then did the same thing on the other side, using point C as the center and line AC as the radius. Doing this created point G,H,I,F. I then drew line segments GF,GH,HI,IF to complete the rectangle. Then to prove it is a rectangle I drew the diagonals and found their intersection which made point K. I knew if I drew a circle using point K as the center that it should touch all four edges of the rectangle and when I drew the circle it touch all four corners. Proving that it is indeed a rectangle.