document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251104>Question 251104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: LV is perpendicular to OE; X is the midpoint of OE   <BR>\n" );
document.write( "Prove: OV is congruent to VE\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182886 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=182886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'm just guessing because your description isn't very clear, but I think your diagram is a kite shape with LV and OE as diagonals that intersect at X.  Proceeding on that assumption:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "XV = XV Reflexive equality\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "angle OXV congruent angle EXV (both are right angles from given that LV perpendicular to OE)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "OX = XE definition of mid-point\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "triangle OXV congruent to triangle EXV by SAS\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "OV congruent to VE by CPCT QED\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );