document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079423>Question 1079423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose x is any positive number. Circle 1 has a center at  (1, &#8722;6) and a radius of 5x. Circle 2 has a center at (5, &#8722;1) and a radius of 3x.\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "Why is circle 1 similar to circle 2?\r<BR>\n" );
document.write( "\n" );
document.write( "1.)    Circle 1 is a translation of four units left and five units down from circle 2 and a dilation of circle 2 with a scale factor of 3/5.\r<BR>\n" );
document.write( "\n" );
document.write( "2.)    Circle 1 and circle 2 have the same circumference, and the radius of circle 1 is &#8203; 35&#8203;  times the length of the radius of circle 2.\r<BR>\n" );
document.write( "\n" );
document.write( "3.)    Circle 1 and circle 2 have the same area, and the radius of circle 1 is &#8203; 5/3&#8203; times the length of circle 2's radius.\r<BR>\n" );
document.write( "\n" );
document.write( "4.)    Circle 1 is a translation of four units left and five units down from circle 2 and a dilation of circle 2 with a scale factor of 5/3.\r<BR>\n" );
document.write( "\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 #693770 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=693770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [I assume you meant 3/5 not 35 and 5/3 not 53].\r<BR>\n" );
document.write( "\n" );
document.write( "ALL circles are similar because they all have the exact same shape.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C12%2C-12%2C7%2Ccircle%281%2C-6%2C5%29%2Ccircle%285%2C-1%2C3%29%2C%0D%0Alocate%284%2C-6%2CCircle2%29%2C+green%28line%285%2C-1%2C1%2C-1%29%2Cline%281%2C-1%2C1%2C-6%29%29%2C%0D%0Agraph%28400%2C400%2C-7%2C12%2C-12%2C7%29%2Ccircle%281%2C-6%2C.1%29%2Ccircle%285%2C-1%2C.1%29%2Clocate%285%2C3%2CCircle1%29%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Which answer do you think it is?  If you're still not sure, ask me in the<BR>\n" );
document.write( "thank-you note form below, and I'll get back to you by email.\r<BR>\n" );
document.write( "\n" );
document.write( "Edwin</pre> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );