document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185564>Question 1185564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> paragraph proof given angle A is congruent to angle D, O is the midpoint of line AD prove triangle AOB is congruent to triangle DOC answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849682 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given that angle A is congruent to angle D, and that O is the midpoint of line AD.  Since O is the midpoint of AD, this means that AO is congruent to DO.  We also know that angles AOB and DOC are vertical angles.  Vertical angles are congruent, so angle AOB is congruent to angle DOC.  Therefore, we have two sides and the included angle of triangle AOB congruent to the corresponding two sides and included angle of triangle DOC.  By the Side-Angle-Side (SAS) congruence postulate, triangle AOB is congruent to triangle DOC.<BR>\n" );
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