document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203060>Question 1203060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a square are (-2,2),(3,4),(5,-1) and(0,-3).Find the coordinates of the center of the square.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838317 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Standard procedure to find the geometric center of any regular polygon given by coordinates of its vertices\r<BR>\n" );
document.write( "\n" );
document.write( "is to find the mean arithmetic of &nbsp;x-coordinates and the mean arithmetic of &nbsp;y-coordinates, separately.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It works for regular triangles, &nbsp;squares, &nbsp;pentagons, &nbsp;heptagons and all other regular &nbsp;\" n-gons \". \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In your case,  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bcenter%5D ALIGN=MIDDLE  ALT=\"x%5Bcenter%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2B3%2B5%2B0%29%2F4 ALIGN=MIDDLE  ALT=\"%28-2%2B3%2B5%2B0%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5;  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bcenter%5D ALIGN=MIDDLE  ALT=\"y%5Bcenter%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B4-1-3%29%2F4 ALIGN=MIDDLE  ALT=\"%282%2B4-1-3%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.5.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It also works for arbitrary triangles, parallelograms, arbitrary quadrilaterals etc., when you look for the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28centroid%29 ALIGN=MIDDLE  ALT=\"highlight%28centroid%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the figure.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In addition to &nbsp;2D, &nbsp;it works in &nbsp;3D &nbsp;space for regular polyhedrons, &nbsp;too.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To learn more, &nbsp;see the lessons\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/geometry/The-Centroid-of-a-triangle-is-the-Intersection-point-of-its-medians.lesson>The Centroid of a triangle is the Intersection point of its medians</A> \r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/geometry/The-Centroid-of-a-parallelogram-is-the-Intersection-point-of-its-diagonals.lesson>The Centroid of a parallelogram is the Intersection point of its diagonals</A> \r<BR>\n" );
document.write( "\n" );
document.write( "in this site.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );