Geometry Problem

Click the figure below to see the complete problem 565.

Zoom at: Geometry Problem 565

## Saturday, January 8, 2011

### Problem 565: Triangle, Isogonal lines, Angles, Congruence, Concyclic Points

Subscribe to:
Post Comments (Atom)

skip to main |
skip to sidebar
## Saturday, January 8, 2011

###
Problem 565: Triangle, Isogonal lines, Angles, Congruence, Concyclic Points

Online Geometry theorems, problems, solutions, and related topics.

Click the figure below to see the complete problem 565.

Zoom at: Geometry Problem 565

Subscribe to:
Post Comments (Atom)

http://img228.imageshack.us/img228/5908/problem565.png

ReplyDeleteDraw 3 angle bisectors of angles A, B, C per attached picture.

Triangle BIF congruent to tri. BIG ( Case SAS) so IF=IG

Triangle DIA congruent to tri. EIA ( Case SAS) so IE=ID

Triangle EIC congruent to tri. GIC ( Case SAS) so IE=IG

So IE=IG=IF=ID and D,E,G and F are concyclic

Peter Tran