document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602872>Question 602872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that abcd is a rhombus. Prove that ac is prependicular to bd (let e be the point of intersection$ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380488 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=380488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Draw the diagonals forming 4 triangles.  Since it is a rhombus, it is also a parallelogram.  The diagonals of a parallelogram bisect each other.\r<BR>\n" );
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document.write( "AB congruent AD, defn of rhombus\r<BR>\n" );
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document.write( "AE congruent AE, reflexive equality\r<BR>\n" );
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document.write( "BE congruent DE, diagonals of parallelogram bisect each other\r<BR>\n" );
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document.write( "Triangle ABE congruent triangle ADE by SSS\r<BR>\n" );
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document.write( "Angle BED is a straight angle, hence measures 180 degrees.\r<BR>\n" );
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document.write( "Angle AEB congruent Angle AED by CPCT\r<BR>\n" );
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document.write( "measure of BED equals measure AEB + measure AED\r<BR>\n" );
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document.write( "measure of BED equals 2 times measure AEB\r<BR>\n" );
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document.write( "measure AEB is 90\r<BR>\n" );
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document.write( "QED.\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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