document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176855>Question 1176855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove this using direct proof in paragraph form.<BR>\n" );
document.write( "Given: 𝑀 is the midpoint of 𝑋𝑌<BR>\n" );
document.write( "Prove: XM = YM </SPAN>\n" );
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document.write( "Proof\r<BR>\n" );
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document.write( "1, <BR>\n" );
document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M ALIGN=MIDDLE  ALT=\"M\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the midpoint of<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+XY ALIGN=MIDDLE  ALT=\"+XY\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "prove: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XM+=+YM ALIGN=MIDDLE  ALT=\"XM+=+YM\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3 and 4\r<BR>\n" );
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document.write( "If<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M+ ALIGN=MIDDLE  ALT=\"+M+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is the midpoint of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XY ALIGN=MIDDLE  ALT=\"XY\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then from the definition of midpoint of a segment, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XM+=+YM ALIGN=MIDDLE  ALT=\"XM+=+YM\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XM ALIGN=MIDDLE  ALT=\"XM\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=YM ALIGN=MIDDLE  ALT=\"YM\"   DISABLED_style= \"max-width:90%; height:auto;\" > have the same measure. <BR>\n" );
document.write( "By the definition of congruence, if two segment have the same measure, then they are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=congruent ALIGN=MIDDLE  ALT=\"congruent\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "5.\r<BR>\n" );
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document.write( "Thus,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XM+=+YM ALIGN=MIDDLE  ALT=\"XM+=+YM\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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