document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883305>Question 883305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three different parallelograms have vertices at (-1,1), (2,0) and (2,3). Draw the three and give the coordinates of the missing vertices. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533456 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=533456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The three given points/vertices form a triangle.<BR>\n" );
document.write( "Two of the sides of the triangle will be adjacent sides of the parallelogram,and the third side would be a diagonal.<BR>\n" );
document.write( "We just need to draw lines parallel to the known sides of the parallelogram,<BR>\n" );
document.write( "and see where they meet to the other side of the diagonal.<BR>\n" );
document.write( "We connect each pair of given points/vertices with a line segment,<BR>\n" );
document.write( "and then we draw a parallel line through the other given point/vertex.<BR>\n" );
document.write( "In doing that, we are constructing 3 more congruent triangles,<BR>\n" );
document.write( "forming a larger similar triangle. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-4%2C6%2C-4%2C6%2C%0D%0Agrid%281%29%2Cline%28-1%2C1%2C2%2C0%29%2C%0D%0Aline%28-1%2C1%2C2%2C3%29%2Cline%282%2C0%2C2%2C3%29%2C%0D%0Aarrow%28-4%2C-4%2C11%2C6%29%2Carrow%28-4%2C-4%2C-2.2%2C-2.8%29%2Carrow%28-4%2C-4%2C-1.9%2C-2.6%29%2C%0D%0Aarrow%28-1%2C-4%2C-1%2C10%29%2Carrow%28-1%2C4%2C-1%2C5.3%29%2C%0D%0Aarrow%28-1%2C4%2C-1%2C5.5%29%2Carrow%28-1%2C4%2C-1%2C5.7%29%2C%0D%0Aarrow%28-4%2C5%2C11%2C0%29%2Carrow%28-4%2C5%2C-1.9%2C4.3%29%2C%0D%0Aarrow%28-1%2C1%2C1.1%2C0.3%29%2C%0D%0Aarrow%28-1%2C1%2C1.1%2C2.4%29%2Carrow%28-1%2C1%2C0.8%2C2.2%29%2C%0D%0Aarrow%282%2C0%2C2%2C2.1%29%2Carrow%282%2C0%2C2%2C1.5%29%2Carrow%282%2C0%2C2%2C1.8%29%2C%0D%0Ared%28line%282%2C0%2C5%2C2%29%29%2Cred%28line%282%2C3%2C5%2C2%29%29%2Cred%28circle%285%2C2%2C0.2%29%29%2C%0D%0Ablue%28line%28-1%2C1%2C-1%2C4%29%29%2Cblue%28line%282%2C3%2C-1%2C4%29%29%2Cblue%28circle%28-1%2C4%2C0.2%29%29%2C%0D%0Agreen%28line%28-1%2C1%2C-1%2C-2%29%29%2Cgreen%28line%282%2C0%2C-1%2C-2%29%29%2Cgreen%28circle%28-1%2C-2%2C0.2%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > The missing vertices (circled) are (-1,4), (-1,-2) and (5,2). </SPAN>\n" );
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