document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683322>Question 683322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: segment TX is parallel to segment SY, angle TXY is congruent to angle TSY<BR>\n" );
document.write( "Prove: Triangle TSY is congruent to Triangle YXT<BR>\n" );
document.write( "the diagram looks like this:<BR>\n" );
document.write( "http://www.mathplanet.com/media/44005/parallelogram1_499x300.jpg<BR>\n" );
document.write( "But the letters from left to right are:<BR>\n" );
document.write( "Top: T then X.<BR>\n" );
document.write( "Bottom: S then Y.<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 #423723 by </B><A HREF=/tutors/aboutme.mpl?userid=Onmyoji.S><B>Onmyoji.S(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Onmyoji.S><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=Onmyoji.S><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: segment TX is parallel to segment SY, angle TXY is congruent to angle TSY<BR>\n" );
document.write( "Prove: Triangle TSY is congruent to Triangle YXT\r<BR>\n" );
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document.write( "_________&#10084;________________&#10084;_________________&#10084;_____________\r<BR>\n" );
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document.write( "1)segment TX is parallel to segment SY<BR>\n" );
document.write( "2)angle XTY congruent angle SYT<BR>\n" );
document.write( "3)angle TXY is congruent to angle TSY<BR>\n" );
document.write( "4)segment TY congruent segment YT<BR>\n" );
document.write( "5)Triangle TSY is congruent to Triangle YXT\r<BR>\n" );
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document.write( "_________&#10084;________________&#10084;_________________&#10084;______________ \r<BR>\n" );
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document.write( "1&#12305;Given<BR>\n" );
document.write( "2&#12305;Alternate interior angle theorem<BR>\n" );
document.write( "3&#12305;Given<BR>\n" );
document.write( "4&#12305;Reflexive of properties of congruence<BR>\n" );
document.write( "5&#12305;AAS\r<BR>\n" );
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document.write( "&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825;&#10084;&#9825; \r<BR>\n" );
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document.write( "——————————&#9829;————————————&#65295;/(&#9685;&#8255;&#8255;&#9685;)\&#65340;—————————&#9829;———————————— </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );