Geometry Problem

Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 952.

## Sunday, December 29, 2013

### Geometry Problem 952: Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points

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Connect IB, IC, IA . Let k=IE/IB=IF/IC=ID/IA

ReplyDeleteG is circumcenter of tri(DEF)

Consider hemothety transformation (center I, factor k)

In this transformation Tri(DEF) => tri(ABC ) and G will become O

So I,G,O are collinear

G is the circumcenter of tri(DEF). dont u mean incenter?

DeleteNo , G is the center of a circle pass through E, E and F.

DeletePeter Tran