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Intersection of Perps (Posted on 2018-01-14) Difficulty: 3 of 5

Let AB and PQ be chords of circle Γ where AB is arbitrary and
PQ is the perpendicular bisector of AB. Let C be a point on Γ
distinct from points A and B. Let I be the incenter of ΔABC. Let
H be the intersection of the perpendicular bisectors of line segments
IA and IB.

Prove that H is either the point P or the point Q.

See The Solution Submitted by Bractals    
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re: Solution | Comment 2 of 3 |
(In reply to Solution by Jer)

Don't you mean H (the circumcenter of triangle) AIB lies on the ray CI which passes through the excenter of triangle ABC opposite vertex C?

Edited on January 16, 2018, 11:18 am
  Posted by Bractals on 2018-01-16 01:24:36

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