document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368763>Question 368763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that midpoints of a quadrilateral form a parallelogram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263108 by </B><A HREF=/tutors/aboutme.mpl?userid=acalgebra><B>acalgebra(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=acalgebra><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=acalgebra><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The type of quadrilateral that is formed can either be a rhombus, a <BR>\n" );
document.write( "rectangle, or a square, but it will always be a parallelogram. This is <BR>\n" );
document.write( "because when the midpoints are connected to form the sides of the <BR>\n" );
document.write( "midpoint-verticed figure, each side of the original figure is bisected. Each newly <BR>\n" );
document.write( "formed side will be parallel to a diagonal of the original. Two of the <BR>\n" );
document.write( "newly formed sides are parallel to the same diagonal and therefore are <BR>\n" );
document.write( "parallel to each other. Along with the other two sides of the midpoint-verticed <BR>\n" );
document.write( "that are parallel to the other diagonal of the original, a parallelogram <BR>\n" );
document.write( "is formed. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );