In ∆C DE , C D = 11, DE = 9, and E C = 13. In ∆G H F , H F = 44,
F G = 36, and G H = 13. State whether
the triangles are similar, and if so,
write a similarity statement and the
theorem which proves them similar.

This could be considered an example of astrology.

The circumcenter is  equidistant  from each vertex of the triangle. the circumcenter is at the  intersection  of the  perpendicular bisectors  of the triangle's sides. the circumcenter of a right triangle falls on the side opposite the right  angle. the incenter  of a triangle is always inside it.