document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159255>Question 1159255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a quadrilateral are (4.6), (7,2), (-1, -5), and (-4,3). Which is the best classification for the quadrilateral.  \r<BR>\n" );
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document.write( "Multiple Choice:<BR>\n" );
document.write( "A. parallelogram<BR>\n" );
document.write( "B. rhombus<BR>\n" );
document.write( "C. rectangle.<BR>\n" );
document.write( "D square\r<BR>\n" );
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document.write( "Thank you :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782235 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A very rough sketch of the four given points shows that it is not any of those shapes.<br><BR>\n" );
document.write( "Check the given coordinates and re-post the problem with the correct ones.<br><BR>\n" );
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document.write( "I could see that the point was supposed to be (7,-2) instead of (7,2) from the rough sketch....<br><BR>\n" );
document.write( "Here is a sketch pirated from the other tutor's response, with the corrected coordinates of that point.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing+%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Acircle%284%2C6%2C.12%29%2Clocate%284%2C6%2CA%284%2C6%29%29%2C%0D%0Acircle%287%2C-2%2C.12%29%2Clocate%287%2C-2%2CB%287%2C-2%29%29%2C%0D%0Acircle%28-1%2C-5%2C.12%29%2Clocate%28-1%2C-5%2CC%28-1%2C-5%29%29%2C%0D%0Acircle%28-4%2C3%2C.12%29%2Clocate%28-4%2C3%2CD%28-4%2C3%29%29%2C%0D%0Agreen%28line%28-4%2C3%2C4%2C6%29%29%2Cgreen%28line%28-4%2C3%2C-1%2C-5%29%29%2C%0D%0Agreen%28line%28-1%2C-5%2C7%2C-2%29%29%2Cgreen%28line%287%2C-2%2C4%2C6%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now it looks very much like a square; and some simple calculations confirm that it is.<br><BR>\n" );
document.write( "From A to B and from D to C are both right 3 and down 8, so those segments have the same slope (-8/3) and the same length.<br><BR>\n" );
document.write( "And from D to A and from C to B are both right 8 and up 3, so those segments also have the same slope (3/8) and the same length.<br><BR>\n" );
document.write( "So all four sides of the quadrilateral have the same length, and the slopes of the two pairs of parallel sided are negative reciprocals; and that makes the quadrilateral a square.<br><BR>\n" );
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