![](../landscape/landscape_px1.gif) |
|
Online Geometry Problem 776: Triangle, Isogonal lines, Congruent angles,
Perpendicular, Concyclic points, Circle, Center,
Midpoint. Level: High School, College,
Mathematics Education
|
The figure below shows a triangle ABC with
angle ABD = angle EBC (isogonal lines). DF and EH are perpendicular to AB, DG and EM are
perpendicular to BC. Prove that F, H, G, M lie on a circle (concyclic
points) whose center O is the midpoint of DE.
![Triangle, Isogonal, Perpendicular, Feet, Concyclic, Circle, Center, Midpoint](p776-triangle-isogonal-perpendicular-feet-concyclic-midpoint.gif)
|
|
|
|
|
|
![](../landscape/landscape_bg_right.gif) |
![](../landscape/landscape_px1.gif) |