document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945562>Question 945562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the polygons with the given vertices are similar.<BR>\n" );
document.write( "Quadrilateral ABCD with vertices A(–5, 4), B(–2, 4), C(–2, 2), D(–5, 2)<BR>\n" );
document.write( "and quadrilateral EFGH with vertices E(–2, 0), F(4, 0), G(4, –6), H(–2, –6).\r<BR>\n" );
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document.write( "Can someone help me ? Thank you ! If any work please show the work, thanks so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576767 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is easier to see if you graph them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C3%2C-3%2C7%2Cgrid%281%29%2C%0D%0Ablue%28line%28-5%2C4%2C-2%2C4%29%29%2Cblue%28line%28-2%2C4%2C-2%2C2%29%29%2Cblue%28line%28-5%2C2%2C-2%2C2%29%29%2Cblue%28line%28-5%2C4%2C-5%2C2%29%29%2Clocate%28-5.3%2C4.5%2CA%29%2Clocate%28-1.9%2C4.5%2CB%29%2Clocate%28-1.9%2C2%2CC%29%2Clocate%28-5.3%2C2%2CD%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-3%2C7%2C-8%2C2%2Cgrid%281%29%2C%0D%0Agreen%28line%28-2%2C0%2C4%2C0%29%29%2Cgreen%28line%284%2C0%2C4%2C-6%29%29%2Cgreen%28line%28-2%2C-6%2C4%2C-6%29%29%2Cgreen%28line%28-2%2C0%2C-2%2C-6%29%29%2Clocate%28-2.3%2C0.5%2CE%29%2Clocate%28-2.3%2C-6%2CH%29%2Clocate%284.1%2C0.5%2CF%29%2Clocate%284.1%2C-6%2CG%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "But even without drawing them, you could figure it out:<BR>\n" );
document.write( "ABCD is a rectangle because<BR>\n" );
document.write( "AB is a horizontal line because the y-coordinate for both points (A and B) is the same: 4.<BR>\n" );
document.write( "CD is a horizontal line because the y-coordinate for both points (C and D) is the same: 2.<BR>\n" );
document.write( "BC is a vertical line because the x-coordinate for both points (B and C) is the same: -2.<BR>\n" );
document.write( "AD is a vertical line because the x-coordinate for both points (A and D) is the same: -5.<BR>\n" );
document.write( "Sides AB and CD have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length=-2-%28-5%29=-2%2B5=3 ALIGN=MIDDLE  ALT=\"length=-2-%28-5%29=-2%2B5=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Sides AD and BC have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length=4-2=2 ALIGN=MIDDLE  ALT=\"length=4-2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, ABCD is a rectangle whose sides are in the ratio 3:2.<BR>\n" );
document.write( " <BR>\n" );
document.write( "To be similar, EFGH must be a rectangle,<BR>\n" );
document.write( "and its side lengths must be in the same 3:2 ratio.<BR>\n" );
document.write( "In the general meaning of the term rectangle, EFGH is a rectangle too, because<BR>\n" );
document.write( "EF is a horizontal line because the y-coordinate for both points (E and F) is the same: 0.<BR>\n" );
document.write( "GH is a horizontal line because the y-coordinate for both points (G and H) is the same: -6.<BR>\n" );
document.write( "FG is a vertical line because the x-coordinate for both points (F and G) is the same: 4.<BR>\n" );
document.write( "EH is a vertical line because the x-coordinate for both points (E and H) is the same: -2.<BR>\n" );
document.write( "However,<BR>\n" );
document.write( "sides EF and GH have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length=4-%28-2%29=4%2B2=6 ALIGN=MIDDLE  ALT=\"length=4-%28-2%29=4%2B2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "sides FG and EH have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length=0-%28-6%29=0%2B6=6 ALIGN=MIDDLE  ALT=\"length=0-%28-6%29=0%2B6=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "So the side lengths are in a 1:1 ratio.<BR>\n" );
document.write( "The rectangle EFGH is a square,<BR>\n" );
document.write( "not at all similar to the rectangle ABCD. </SPAN>\n" );
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