document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446057>Question 446057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is true if a pentagon tessellates a plane?<BR>\n" );
document.write( "a. A pentagon never tessellates a plane<BR>\n" );
document.write( "b. All of its sides must be the same length<BR>\n" );
document.write( "c. It must be a regular pentagon<BR>\n" );
document.write( "d. It has one pair of parallel slides </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307208 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=307208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is possible for a pentagon to tessellate a plane. Draw a \"house\" shaped pentagon:\r<BR>\n" );
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document.write( "Place several of these side by side, same orientation, then reflect the pentagon to tessellate the plane. Given this, we know that statements a and c need not be true.\r<BR>\n" );
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document.write( "The ability to tessellate the plane was not dependent on the sides being the same length either, so choice b is not true either. This leaves the only remaining choice, d.\r<BR>\n" );
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document.write( "A greater challenge: Can you prove that statement d must be true, without using process of elimination? </SPAN>\n" );
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