Online Geometry
Problem 734: Triangle, Isosceles, Median, Parallel,
Angle Bisector, Congruence, Midpoint.
Level: High School, Honors Geometry, College,
Mathematics Education

The figure shows a triangle ABC with the
median AM and a cevian BD so that BD = AD. If DE is parallel to AB, prove that
the angles DBE and ACB are congruent. This entry contributed by Ajit Athle.