Geometry Problem 481: Triangle, Altitude, Cevian, Perpendicular, Angle. High School,
Math Education.

The figure shows a triangle ABC with
the altitude AF and a cevian BD. Line AE is perpendicular to BD
extended, and BG is perpendicular to line EF extended. Prove
that angles ABD and CBG are congruent.
A cevian is a segment which joins a vertex of a
triangle with a point on the opposite side (or its extension).


