.Suppose that AABC is a triangle with side AB a diameter of a circle with center 0, as in the picture on the right, and suppose that the vertex C lies on the circle. Now imagine that you rotate the circle 180 around its center, so that AABC is in a new posi- tion, as indicated by the dashed lines in the picture. Explain how this picture proves Thales' Theorem. A. B. -------- ----