document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499186>Question 499186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following conditions cannot be used for checking that two triangle are congruent?<BR>\n" );
document.write( "(1) two corresponding angles and corresponding sides are equal<BR>\n" );
document.write( "(2) two corresponding sides and the corresponding included angles are equal<BR>\n" );
document.write( "(3) three corresponding angles are equal<BR>\n" );
document.write( "(4) three corresponding sides are equal </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337452 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=337452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the process of elimination.<BR>\n" );
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document.write( "Which of the following conditions cannot be used for checking that two triangle are congruent?<BR>\n" );
document.write( "(1) two corresponding angles and corresponding sides are equal<BR>\n" );
document.write( "(2) two corresponding sides and the corresponding included angles are equal<BR>\n" );
document.write( "(3) three corresponding angles are equal<BR>\n" );
document.write( "(4) three corresponding sides are equal<BR>\n" );
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document.write( "(1) Clearly this will work because with 2 angles and 2 sides, there is no freedom for the third side.  The third angle has to be 180 - sum of the 2 sides.  The third side has to be fixed.<BR>\n" );
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document.write( "(2) This will work, too.  The third angle is defined by knowing the two angles.  The third side of the triangle is defined precisely and has not freedom to vary.<BR>\n" );
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document.write( "(3) This will not work.  The triangles will be similar if all three angles are equal.  But one could be microscopic and the other could be the drawn on a football field.<BR>\n" );
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document.write( "(4) This works.  If the sides are all the same length, then the angles will be the same.<BR>\n" );
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document.write( "Question:  Which will not work?  (3) will not work. </SPAN>\n" );
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