document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388334>Question 388334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if the diagonals AC, BD have the same midpoint then show y3=y2 and x3=x2-x1\r<BR>\n" );
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document.write( "what I got is <BR>\n" );
document.write( "0+x2/2 , 0+y2/2 = (x2/2 , y2/2)\r<BR>\n" );
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document.write( "I don't know how to do the rest please show me step by step.<BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274648 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You've just shown that the midpoint of AC is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{x_{2}}{2} \ ,\frac{y_{2}}{2}\right)\">\r<BR>\n" );
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document.write( "Now find the midpoint of BD to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{x_{1}+x_{3}}{2} \ ,\frac{y_{3}}{2}\right)\">\r<BR>\n" );
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document.write( "Since the AC and BD have the same midpoint, this means that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{x_{2}}{2} \ ,\frac{y_{2}}{2}\right)=\left(\frac{x_{1}+x_{3}}{2} \ ,\frac{y_{3}}{2}\right)\">\r<BR>\n" );
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document.write( "Which therefore means that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{x_{2}}{2}=\frac{x_{1}+x_{3}}{2} \ ,\frac{y_{2}}{2}=\frac{y_{3}}{2}\">\r<BR>\n" );
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document.write( "I'll leave the rest to you. Let me know if you need more help.\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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