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\begin{document}
\begin{center}
\Huge{tcore 112: Quiz 2}
\end{center}


\normalsize

\vspace{-2.7in} \includegraphics[height=9in]{Quiz2a}	
\vspace{-3in}

\noindent The lines $\overline{BH}$ and $\overline{CL}$ are parallel. Refer to the diagram above when answering the questions on this page.
\begin{enumerate}
\item $[3]$ TRUE/FALSE:   If true, circle T and explain breifly why the statement is true.  Otherwise, circle F. 

\begin{tabular*}{4in}{lll}
~\\
T &F & $\angle AEB$ has the same measure as $\angle LJK$\\
~\\
~\\
~\\
~\\
T &F & $\angle AEB$ has the same measure as $\angle DEH$\\
~\\
~\\
~\\
~\\
\end{tabular*}
\item $[1]$ Find a pair of angles that are alternate interior angles.
\vfill
\item $[1]$ Fill in the blank: If a line $l$ was perpendicular to line $\overline{BH}$,\\ then $l$ would be \hspace{2in} to $\overline{CL}$.

\newpage
\item Angles $\angle ADB$, $\angle BDC$ and $\angle ABC$ are right angles in the diagram below. Use this diagram to answer the questions below.
\begin{enumerate}
\item $[1]$ Identify two triangles that are similar
\vskip .8in
\item $[1]$ Find the length of $\overline{BD}$
\vskip 1in
\item $[2]$ Find the length of $\overline{DC}$.
\vskip .5in
\end{enumerate}

\vspace{-5.5in}\hspace{.8in}\includegraphics[height=9in]{Quiz2b}	

\vspace{-2.5in}
\item $[2]$ Write down a conditional statement that is true but has a false converse.
\vfill
\item $[2]$ Logic, as written by Aristotle in 384 BC (and discussed in class on 1/5), had three rules.  Write down one of the rules. 
\vfill
\item $[2]$ What trait about the cult of Pythagorus do you find the most interesting?
\vfill

\end{enumerate}

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