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\def\header{{\hfill Exam 2
\hfill A. Miller
\hfill Spring 2006
\hfill Math 131\hfill}}

\markboth\header\header
\newcount\probno
\probno=0
\def\prob#1{\advance\probno by 1 \par\bigskip  % \vfill \newpage
    \noindent\the\probno .} %{ (#1 pts)}

\begin{document}


{\bf
To receive
full credit you will need to write complete, clear, and
understandable answers.
}

\par\vskip .25in
\begin{center}
Name\makebox[3in]{\hrulefill} \\
\end{center}

\bigskip

\begin{center}
{ \bf Do any three of the problems 1 thru 6 and Problem A
and B.}

\end{center}

\prob{10} % 9.3 congruence
If two triangles are SSS congruent what does it mean?  If two triangles
are ASA congruent what does it mean?   Explain and give
examples.  What does it mean to say two triangles are similar? Explain
and give examples.

\prob{10} % 9.4 similarity
You are sitting way in back in your calculus lecture with 600 of your fellow
freshman.  You hold out your arm and notice that the professor looks to be
just as tall as your thumb.   The professor turns around and smiles at you
because he thinks you are giving him the ``thumbs up'' sign of approval. If
your thumb is 5 centimeters tall, your arm is half of a meter, and 
the calculus
professor is 2 meters tall, how far away is your professor?

\prob{10} Jupiter has many moons.  Three of them are
Europa, Ganymede, and Callisto.
$$\begin{array}{ccc}
\mbox{ moon }& \mbox{ distance from Jupiter in 1000 km }& 
\mbox{ radius in km }\\
Europa & 670 & 1560\\
Ganymede & 1070 & 2631 \\
Callisto & 1882 & 2410 \\
\end{array}$$
For an observer on the surface of Jupiter which of the three moons
would appear to be largest?  Explain.

\prob{10} Determine the surface area and the volume of a closed box which is
2 inches wide, 3 inches deep, and 4 inches tall.

\prob{10} A house has a floor area of 1600 square feet.  What is the floor
area in square meters?   Use the fact that 1 inch = 2.54 centimeters.

\prob{10} One source says that the average distance from the Earth
to the Moon is 384,467 kilometers.  Another source says that the average
distance from the Earth to the Moon is 384,000 kilometers.  Can both
descriptions be correct, or must at least one of them be wrong? Explain.

\bigskip
$$
\mbox{ Enter which problems 1-6 you did in boxes: }\phantom{AAAAAAA}
\begin{array}{|c|c|}
\hline
Problem & Score \\
\hline
\hline & \\
\hline & \\
\hline & \\
\hline A & \\
\hline B & \\ 
\hline\hline Total &\\
\hline
\end{array}
$$

\bigskip
\bigskip

\begin{center}
{\bf Do both problems A and B on the back of this page.}
\end{center}




\newpage

\bigskip

\def\mypar#1 {\par\bigskip\fbox{#1}}

Problem A. Draw lines connecting items in the
left column with those that match in the right column.  (Warning:
Items may be connected to more than one
thing in the opposite column.)

\par
\begin{minipage}{3in}
\mypar{ a baker's foot }
\mypar{ 6 teramiles }
\mypar{ 1 meter }
\mypar{ 2.54 meters }
% \mypar{ 0 (holes are empty) }
% \mypar{ 6,000,000,000,000 miles }
\mypar{ 1000 cubic centimeters }
\mypar{ 72 cubic feet }
\mypar{ 1 square yard }
\mypar{ 1 mile }
\end{minipage}
\begin{minipage}{2in}
\mypar{ 1000 millimeters }
\mypar{ 100 inches }
\mypar{ 9 square feet }
%\mypar{ $10^{-3}$ kilometers }
\mypar{ 8 furlongs }
\mypar{ 
\begin{minipage}{1.75in}
volume of hole
which is 2 feet wide, 6 feet
long and 6 feet deep 
\end{minipage}
}
\mypar{ 13 inches }
%\mypar{ 100 centimeters }
\mypar{ 5280 feet }
\mypar{ 1 light year }
\mypar{ 1 liter }
\end{minipage}

\bigskip\bigskip
Problem B.  % 9.2 symmetries
For each of the
the figures below (square, rectangle, rhombus, equilateral
triangle) draw all of its lines of reflection symmetry.

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\put(60,10){\line(3,5){15}}
\put(75,35){\line(3,-5){15}}
\put(60,10){\line(1,0){30}}

\put(10,10){\line(1,0){23}}
\put(10,10){\line(1,2){10}}
\put(20,30){\line(1,0){23}}
\put(33,10){\line(1,2){10}}

\put(10,40){\line(0,1){30}}
\put(40,40){\line(0,1){30}}
\put(10,40){\line(1,0){30}}
\put(10,70){\line(1,0){30}}

\put(60,50){\line(1,0){30}}
\put(60,70){\line(1,0){30}}
\put(60,50){\line(0,1){20}}
\put(90,50){\line(0,1){20}}
\end{picture}




\end{document}
