document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732383>Question 732383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> TWO PROOFS FOR THE SAME PICTURE. Please explain.<BR>\n" );
document.write( "1. Given: BD bisects AC, AB &#8773; BC.<BR>\n" );
document.write( "Prove: angle C &#8773; angle A \r<BR>\n" );
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document.write( "2. Given: BD is perpendicular to AC, AB &#8773; BC.<BR>\n" );
document.write( "Prove: angle CBD &#8773; angle ABD \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 #447828 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=447828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Given: BD bisects AC, AB &#8773; BC.<BR>\n" );
document.write( "Prove: angle C &#8773; angle A \r<BR>\n" );
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document.write( "1.BD bisects AC, AB  &#8773 BC........given<BR>\n" );
document.write( "2.AD &#8773CD.........................def. of bisector<BR>\n" );
document.write( "3.BD &#8773BD.........................reflexive property<BR>\n" );
document.write( "4. triangle ADB &#8773BDC.............SSS<BR>\n" );
document.write( "5.angle C &#8773; angle A......CPCTC\r<BR>\n" );
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document.write( "2. Given: BD is perpendicular to AC, AB &#8773; BC.<BR>\n" );
document.write( "Prove: angle CBD &#8773; angle ABD \r<BR>\n" );
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document.write( "1.BD is perpendicular to AC, AB &#8773; BC.......given<BR>\n" );
document.write( "2.angles ABD =angle BDC=90 ..............BD is perpendicular to AC<BR>\n" );
document.write( "3. BD = BD............................ common<BR>\n" );
document.write( "4. triangles ABD and CBD are &#877............ ASA<BR>\n" );
document.write( "5. angle CBD &#8773; angle ABD ..........RHS congruency<BR>\n" );
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