document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49791>Question 49791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question:How can I write a formal proof of the theorem.\r<BR>\n" );
document.write( "\n" );
document.write( "\"If the base angles of a triangle are congruent, then the triangle is isosceles\"\r<BR>\n" );
document.write( "\n" );
document.write( "This was my proof that was incorrect.\r<BR>\n" );
document.write( "\n" );
document.write( "Given: angle DAB=DAC (told not base angles)\r<BR>\n" );
document.write( "\n" );
document.write( "STATEMENTS                       REASONS<BR>\n" );
document.write( "1. angleDAB=angleDAC             1. Given<BR>\n" );
document.write( "2. DA-DA                         2. Reflexive Property<BR>\n" );
document.write( "3. Triangle BAD=Triangle CAB     3. SSS<BR>\n" );
document.write( "4. BD=ED                         4. CPCTC<BR>\n" );
document.write( "5. angleBAD=angle CAD            5. Converse Base Angle Theorem<BR>\n" );
document.write( "6. AD bisect BC                  6. Def. of an Isosceles Triangle<BR>\n" );
document.write( "7. triangle ABD=Triangle ACD     7. Isosceles Triangle\r<BR>\n" );
document.write( "\n" );
document.write( "Could you please show me the correct way to prove this theorem?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33037 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=33037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE MY COMMENTS BELOW..<BR>\n" );
document.write( "Question:How can I write a formal proof of the theorem. <BR>\n" );
document.write( "\"If the base angles of a triangle are congruent, then the triangle is isosceles\" <BR>\n" );
document.write( "This was my proof that was incorrect. <BR>\n" );
document.write( "Given: angle DAB=DAC (told not base angles)<BR>\n" );
document.write( "NO...FIRST NAME THE TRIANGLE<BR>\n" );
document.write( "GIVEN....<BR>\n" );
document.write( "LET ABC BE THE TRIANGLE WITH A AS VERTEX <BR>\n" );
document.write( "BASE ANGLES ABC AND ACB ARE SAME.THAT IS<BR>\n" );
document.write( "ANGLE ACB = ANGLE ABC<BR>\n" );
document.write( "TO PROVE....<BR>\n" );
document.write( "ABC IS ISOCELLES TRIANGLE..<BR>\n" );
document.write( "THAT IS AB=AC<BR>\n" );
document.write( "CONSTRUCTION... <BR>\n" );
document.write( "DRAW AD PERPENDICULAR TO BC.D IS ON BC.<BR>\n" );
document.write( "PROOF.....<BR>\n" );
document.write( "STATEMENTS REASONS<BR>\n" );
document.write( "IN TRIANGLES DAB AND DAC<BR>\n" );
document.write( "1. angleDAB=angleDAC ...NO.....ANGLE DBA=ANGLE DCA.... Given<BR>\n" );
document.write( "2. DA-DA....NO .....AD=AD.... Reflexive Property<BR>\n" );
document.write( "3. Triangle BAD=Triangle CAB..........NO 3. SSS............NO<BR>\n" );
document.write( "ANGLE BDA=90=ANGLE CDA ....BY CONSTRUCTION<BR>\n" );
document.write( "4. HENCE THE 2 TRIANGLES DAB AND DAC ARE CONGRUENT....AAS<BR>\n" );
document.write( "HENCE AB=AC..BY CONGRUENCE PROPERTY.<BR>\n" );
document.write( "HENCE THE TRIANGLE ABC IS ISOCELLES.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5. angleBAD=angle CAD 5. Converse Base Angle Theorem<BR>\n" );
document.write( "6. AD bisect BC 6. Def. of an Isosceles Triangle<BR>\n" );
document.write( "7. triangle ABD=Triangle ACD 7. Isosceles Triangle <BR>\n" );
document.write( "Could you please show me the correct way to prove this theorem?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );