document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704144>Question 704144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If someone could help me with this question, I would really appreciate it. Points E (0,5), F (4,2), G (0, -1) and H (-4,2) are the vertices of a quadrilateral. <BR>\n" );
document.write( "a)Verify that quadrilateral EFGH is a rhombus.<BR>\n" );
document.write( " I know that I have to show all four sides are congruent...but would this just be using the distance formula? Also, I'm pretty sure there is more to a rhombus than just the sides being congruent.<BR>\n" );
document.write( " b)Verify that the diagonals of quadrilateral EFGH are perpendicular bisectors.<BR>\n" );
document.write( " I have no idea for this one!<BR>\n" );
document.write( " Thank you so much in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433960 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=433960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Opposite sides are parallel, and<BR>\n" );
document.write( "the diagonals are perpendicular bisectors of each other.<BR>\n" );
document.write( "You can prove it is a rhombus if you prove that<BR>\n" );
document.write( "the diagonals are perpendicular bisectors of each other.<BR>\n" );
document.write( " <BR>\n" );
document.write( "It is easy to see that EG is vertical, part of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and that FH is horizontal, part of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and that the diagonals intersect at point (0,2).<BR>\n" );
document.write( " <BR>\n" );
document.write( "What remains to prove is that (0,2) is the midpoint of EG, and the midpoint of FH.<BR>\n" );
document.write( "You do remember that the coordinates of the midpoint of a segment are the averages of the coordinates of the two end points, right? </SPAN>\n" );
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