[Math] How to cut an irregular shape into 2 congruent parts

congruences-geometrygeometry

Is it possible to cut this shape:

enter image description here

into 2 congruent parts (equal area and shape).

The guy who gave us this teaser said that it's possible. But i can't for the life of me figure out how.

In the figure, $ABCD$ is a square, angle $CDE$ is a right angle, and the curve $AE$ is a circular arc with center $C$.

Best Answer

enter image description here

(This space intentionally left blank.)

Related Question