document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043803>Question 1043803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write out, in paragraph form, a plan for completing the following proof.<BR>\n" );
document.write( "For example, will you prove triangles congruent? How? By what theorem?\r<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "AR = AQ<BR>\n" );
document.write( "RT = QS\r<BR>\n" );
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document.write( "Prove:<BR>\n" );
document.write( "RAT = QAS\r<BR>\n" );
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document.write( "Link to triangle...<BR>\n" );
document.write( "https://rlcs.ignitiaschools.com/media/g_geo_ccss_2016/4/page47a.gif<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 #658984 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.<BR>\n" );
document.write( "Therefore RS=TQ<BR>\n" );
document.write( "Angle R=Angle Q, because it is an isosceles triangle<BR>\n" );
document.write( "Triangle AR<BR>\n" );
document.write( "S is congruent to ATQ.<BR>\n" );
document.write( "AT=AS<BR>\n" );
document.write( "Because TAS is isosceles, angles 5 and 6 are equal.<BR>\n" );
document.write( "Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.<BR>\n" );
document.write( "And angles 1 and 3 are equal, because the other two angles in the triangle are equal.\r<BR>\n" );
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document.write( "The triangles RAT and QAS are congruent with SAS.  </SPAN>\n" );
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