document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186429>Question 1186429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help write an INDIRECT PROOF for this problem? My child is currently learning Indirect proofs at school. Would greatly appreciate your help.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817349 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:<BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BAC ALIGN=MIDDLE  ALT=\"BAC\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not congruent to <<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DAC ALIGN=MIDDLE  ALT=\"DAC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=AD ALIGN=MIDDLE  ALT=\"AB=AD\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "prove:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not congruent<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+DC ALIGN=MIDDLE  ALT=\"+DC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "guidelines for writing indirect proof:\r<BR>\n" );
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document.write( "1. identify the statement that you want to prove is true<BR>\n" );
document.write( "2. begin by assuming the statement is false, assume its opposite is true<BR>\n" );
document.write( "3. obtain statements that are logically follow  from your assumption<BR>\n" );
document.write( "4. if obtain contradiction,  then the original statement must be true\r<BR>\n" );
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document.write( "statement......................................................reason\r<BR>\n" );
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document.write( "1. < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BAC ALIGN=MIDDLE  ALT=\"BAC\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not congruent to <<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DAC ALIGN=MIDDLE  ALT=\"DAC\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............given\r<BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+AB=AD ALIGN=MIDDLE  ALT=\"+AB=AD\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....................................................given\r<BR>\n" );
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document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > is congruent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DC ALIGN=MIDDLE  ALT=\"DC\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....................................indirect proof assumption<BR>\n" );
document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > is midpoint of<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+BD ALIGN=MIDDLE  ALT=\"+BD\"   DISABLED_style= \"max-width:90%; height:auto;\" >....................................definition of midpoint<BR>\n" );
document.write( "5. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC ALIGN=MIDDLE  ALT=\"AC\"   DISABLED_style= \"max-width:90%; height:auto;\" > is bisector of <<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" >...............................definition of bisector<BR>\n" );
document.write( "6. < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BAC ALIGN=MIDDLE  ALT=\"BAC\"   DISABLED_style= \"max-width:90%; height:auto;\" > is congruent to <<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DAC ALIGN=MIDDLE  ALT=\"DAC\"   DISABLED_style= \"max-width:90%; height:auto;\" >....................reflexive property<BR>\n" );
document.write( "7. contradiction (3,6)...........................................the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=assumption ALIGN=MIDDLE  ALT=\"assumption\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=false ALIGN=MIDDLE  ALT=\"false\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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