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\title{TJ USAMO Practice 9 - Some Geometry Problems}
\author{PDiao05}
\date{December 8, 2005}

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\maketitle

\par No lecture for you!

\section{The only section: Practice}

\begin{enumerate}

\item (IMO Shortlist 2002 G1) B is a point on the circle S. A is a point 
(distinct from B) on the tangent to S at B. C is a point not on S such that 
the line segment AC meets the circle S at two distinct points. S' is a circle 
which touches AC at C and S at D, where B and D are on opposite sides of the 
line AC. Show that the circumcenter of BCD lies on the circumcircle of ABC.

\end{enumerate}

\par I guess there was only one problem.  Have FUN \large{!}\Large{!}\LARGE{!}

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