document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807738>Question 807738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is given that PQRS is a parallelogram. Graph PQRS. Decide whether its a rectangle,  a rhombus , a square or none of &#65279;the above <BR>\n" );
document.write( "#1) P(-6,5), Q(4,11) R(7,7) S(-3,1)<BR>\n" );
document.write( "#2) P(-7,-2), Q(-2,-2), R(-2,-7) S(-7,-7) help asap </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486490 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=486490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1) P(-6,5), Q(4,11) R(7,7) S(-3,1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28320%2C300%2C-8%2C8%2C-2%2C13%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28line%28-6%2C5%2C4%2C11%29%29%2Cblue%28line%284%2C11%2C7%2C7%29%29%2C%0D%0Ablue%28line%287%2C7%2C-3%2C1%29%29%2Cblue%28line%28-3%2C1%2C-6%2C5%29%29%2C%0D%0Alocate%28-6.5%2C5%2CP%29%2Clocate%284.1%2C11.7%2CQ%29%2C%0D%0Alocate%287.1%2C7%2CR%29%2Clocate%28-2.9%2C1%2CS%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > This quadrilateral looks like a rectangle, but it is not.<BR>\n" );
document.write( "The angles are not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Perpendicular lines/segments have slopes whose product is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Slope of PQ =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811-5%29%2F%284-%28-6%29%29=6%2F10=3%2F5 ALIGN=MIDDLE  ALT=\"%2811-5%29%2F%284-%28-6%29%29=6%2F10=3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Slope of QR =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-11%29%2F%287-4%29=%28-4%29%2F3=-4%2F3 ALIGN=MIDDLE  ALT=\"%287-11%29%2F%287-4%29=%28-4%29%2F3=-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The product of the slopes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%2A%28-4%2F3%29=-4%2F5%3C%3E-1 ALIGN=MIDDLE  ALT=\"%283%2F5%29%2A%28-4%2F3%29=-4%2F5%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so PQ and QR are not perpendicular, and PQRS is neither a square nor a rectangle.<BR>\n" );
document.write( "Since obviously PQ is much longer than QR, it is not a rhombus either.<BR>\n" );
document.write( " <BR>\n" );
document.write( "#2) P(-7,-2), Q(-2,-2), R(-2,-7) S(-7,-7)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28320%2C300%2C-8%2C2%2C-9%2C1%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28line%28-7%2C-2%2C-2%2C-2%29%29%2Cblue%28line%28-2%2C-2%2C-2%2C-7%29%29%2C%0D%0Ablue%28line%28-2%2C-7%2C-7%2C-7%29%29%2Cblue%28line%28-7%2C-7%2C-7%2C-2%29%29%2C%0D%0Alocate%28-7.3%2C-1.5%2CP%29%2Clocate%28-1.9%2C-1.5%2CQ%29%2C%0D%0Alocate%28-1.9%2C-7%2CR%29%2Clocate%28-7.3%2C-7%2CS%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > This one is obviously a square of side length 5. The sides are the same length and perpendicular to each other because they are parallel to the x- and y-axes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );