document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254259>Question 254259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This prove is really confusing me and below have provided what i think i understand but i just can't remember the reasons so if you can help me i would appreciate it very much.\r<BR>\n" );
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document.write( "Given: In triangle ABC, line segment AB>AC and M is the midpoint of line segment AC.<BR>\n" );
document.write( "Prove: line segment AB>AM\r<BR>\n" );
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document.write( "Statements                                Reasons<BR>\n" );
document.write( "1. AB>AC                                 1. Given<BR>\n" );
document.write( "2. M is the midpoint of AC               2. Given<BR>\n" );
document.write( "3. AM=MC                                 3. A midpoint separates a line segment <BR>\n" );
document.write( "                                            into two congruent parts.<BR>\n" );
document.write( "4. AC=AM+MC                              4. If point M is between A and C, then <BR>\n" );
document.write( "                                            AM+MC=AC<BR>\n" );
document.write( "5. AC>AM                                 5.???<BR>\n" );
document.write( "6. AB>AM                                 6. Transitive property of equality\r<BR>\n" );
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document.write( "Reasons<BR>\n" );
document.write( "1. Given<BR>\n" );
document.write( "2. Given<BR>\n" );
document.write( "3. A midpoint separates a line segment into two congruent parts.<BR>\n" );
document.write( "4. If point M is between A and C, then AM+MC=AC<BR>\n" );
document.write( "5.???<BR>\n" );
document.write( "6. Transitive property of equality </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186638 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=186638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> STATEMENT 1: AB>AC<BR>\n" );
document.write( "REASON 1: given<BR>\n" );
document.write( "STATEMENT 2: M is the midpoint<BR>\n" );
document.write( "REASON 2: given<BR>\n" );
document.write( "STATEMENT 3: AM=MC<BR>\n" );
document.write( "REASON 3: definition of midpoint<BR>\n" );
document.write( "STATEMENT 4: AC=AM+MC<BR>\n" );
document.write( "REASON 4: segment addition postulate<BR>\n" );
document.write( "STATEMENT 5: AC > AM<BR>\n" );
document.write( "REASON 5: distance from end point to midpoint is less than distance from end point to end point.<BR>\n" );
document.write( "STATEMENT 6: AB>AM<BR>\n" );
document.write( "REASON 5: transitive property of inequality<BR>\n" );
document.write( "I think that gets it. You are on the right track! </SPAN>\n" );
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