document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295864>Question 295864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different (noncongruent) convex quadrilateral can you make on a 3-by-3 dot grid, using the dots as vertices? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213278 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Number your dots, left to right, then top to bottom.\r<BR>\n" );
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document.write( "You can make a square with 1,2,4,5.  But that is congruent to any other square with side measuring 1.\r<BR>\n" );
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document.write( "You can make a larger square with 1,3,7,9.  There is obviously only one of those that can be made.\r<BR>\n" );
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document.write( "You can make a rectangle with 1, 3, 4, 6.\r<BR>\n" );
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document.write( "You can make a parallelogram with 2,3,4,5.  All other parallelograms of this size are congruent.\r<BR>\n" );
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document.write( "You can make a larger parallelogram with 2, 3, 7, and 8\r<BR>\n" );
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document.write( "You can make a trapezoid with 2, 3, 4, 6\r<BR>\n" );
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document.write( "You can make a larger trapezoid with 3, 4, 7, 9\r<BR>\n" );
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document.write( "So, two squares, a rectangle, two parallelograms, and two trapezoids (or trapeziums if you are British) for a total of 7.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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