Go Geometry Problems

Online Geometry Problem 612: Altitude of a Triangle, Perpendicular, Congruence. Level: Mathematics Education, High School, College

The figure shows a triangle ABC with the altitude BD. DE is perpendicular to AB and DF is perpendicular to BC. BD and EF meet at G. AG and DE meet at H, CG and DF meet at M. Lines BH and AC meet at N, lines BM and AC meet at P. Prove that BN and BP are congruent.
 

Altitude of a triangle, perpendicular, congruence
 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 611-620 | Triangles | Perpendicular lines | Congruence | Altitude | Parallel lines | Email | Post a comment or solution | By Antonio Gutierrez