document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200401>Question 200401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Analytic Geometry<BR>\n" );
document.write( "17.a) Determine the type of quadrilateral that has vertices at A(4, 6), B(-4, -2), C(2, -5), and D(11, 4).<BR>\n" );
document.write( "Can you please help me and thank you very much!!!#@$## </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150678 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Use the formula for the slope of a line:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m = \frac{y_1 - y_2}{x_1 - x_2} \">\r<BR>\n" );
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document.write( "To calculate the slopes of the lines containing the four line segments forming the sides of your quadrilateral.\r<BR>\n" );
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document.write( "Use the distance formula to calculate the lengths of each of the four sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d = sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\">\r<BR>\n" );
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document.write( "Use the fact that parallel lines have equal slopes.\r<BR>\n" );
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document.write( "If none of the slopes are equal, you have no parallel sides, so you have a general quadrilateral or a kite.  If two adjacent sides have equal lengths and the other two have equal lengths, then it is a kite, otherwise it is a general quadrilateral.\r<BR>\n" );
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document.write( "If two lines have the same slope and the other two slopes are not equal, you have a trapezoid (trapezium if you are British)\r<BR>\n" );
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document.write( "If you have two pairs of equal slopes, you have a parallelogram, rhombus, rectangle, or square.\r<BR>\n" );
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document.write( "Given that, if the unequal slopes are negative reciprocals of each other, then you have a rectangle or square because the adjacent sides are perpendicular.  In this case, if the lengths of two adjacent sides are equal, you have a square, otherwise it is a rectangle.\r<BR>\n" );
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document.write( "If the adjacent sides are not perpendicular, then you have a general parallelogram or a rhombus.  If the lengths of two adjacent sides are equal, then you have a rhombus, otherwise it is a general parallelogram.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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