document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210461>Question 1210461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the diagram, AD bisects BAC.\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "By adding one more condition, we can prove that triangles ABD and ACD are congruent.  Which one of the following could be that condition?  Select all that apply.\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(a) BC = AD\r<BR>\n" );
document.write( "\n" );
document.write( "(b) AB = PQ\r<BR>\n" );
document.write( "\n" );
document.write( "(c) angle ABC = angle BPQ\r<BR>\n" );
document.write( "\n" );
document.write( "(d) angle BCD + angle PAQ = 90 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852772 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53299)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "In the diagram, AD bisects BAC.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "By adding one more condition, we can prove that triangles ABD and ACD are congruent.  <BR>\n" );
document.write( "Which one of the following could be that condition?  Select all that apply.\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "(a) BC = AD\r<BR>\n" );
document.write( "\n" );
document.write( "(b) AB = PQ\r<BR>\n" );
document.write( "\n" );
document.write( "(c) angle ABC = angle BPQ\r<BR>\n" );
document.write( "\n" );
document.write( "(d) angle BCD + angle PAQ = 90<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Neither the diagram nor the link to it are provided, so a reader does not have <BR>\n" );
document.write( "adequate information about the problem. Thus the input is meaningless.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As the problem is worded and presented in the post, the objects P, Q, and PQ are undefined, <BR>\n" );
document.write( "and, therefore, can not be used without explanations of their meaning.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So and therefore, as presented in the post, the problem is FATALLY DEFECTIVE<BR>\n" );
document.write( "and the post itself can not be considered as a Math problem.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In general, recent parcels to this forum (of yesterday) produce very bad impression <BR>\n" );
document.write( "about the ability of their creator to compose adequate Math problems.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The fact that the Artificial Intelligence was employed to solve meaningless problem,<BR>\n" );
document.write( "produce very bad impression about intentions of its authors.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Another attempt to deceive the reader.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );