document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104273>Question 1104273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If WXYZ is a parallelogram, which of the following must ALWAYS be true?\r<BR>\n" );
document.write( "\n" );
document.write( "A. segment WY and segment YX bisect each other<BR>\n" );
document.write( "B. angle XWZ is congruent to angle XYZ<BR>\n" );
document.write( "C. segment WY is perpendicular to segment ZX<BR>\n" );
document.write( "D. segment WY is congruent to segment ZX<BR>\n" );
document.write( "E. segment ZX bisects angle WXY<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719023 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=719023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallelograms (and other polygons) are named<BR>\n" );
document.write( "by listing letter names of the vertices<BR>\n" );
document.write( "in the order you see them as you go around the parallelogram.<BR>\n" );
document.write( "So, parallelogram WXYZ would look something like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C200%2C-0.2%2C3.2%2C-0.2%2C2.2%2C%0D%0Aline%280%2C0%2C2.2%2C0%29%2Cline%281%2C2%2C3%2C2%29%2C%0D%0Aline%280%2C0%2C1%2C2%29%2Cline%282.2%2C0%2C3%2C2%29%2C%0D%0Alocate%28-0.05%2C0%2CW%29%2Clocate%280.95%2C2.2%2CX%29%2C%0D%0Alocate%282.2%2C0%2CZ%29%2Clocate%283%2C2.2%2CY%29%2C%0D%0Agreen%28line%280%2C0%2C3%2C2%29%29%2Cgreen%28line%282.2%2C0%2C1%2C2%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Line segments WY and XZ are diagonals.<BR>\n" );
document.write( " <BR>\n" );
document.write( "A. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > is never true.<BR>\n" );
document.write( "Diagonals bisect each other in all parallelograms,<BR>\n" );
document.write( "and WY is a diagonal, that bisects diagonal XZ,<BR>\n" );
document.write( "but XY is a side that meets diagonal WY and point Y,<BR>\n" );
document.write( "which is an endpoint of both segments.<BR>\n" );
document.write( "It is not the midpoint of either segment.<BR>\n" );
document.write( " <BR>\n" );
document.write( "B. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B%29 ALIGN=MIDDLE  ALT=\"highlight%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > must always be true.<BR>\n" );
document.write( "Angles XWZ and XYZ are opposite angles in WXYZ,<BR>\n" );
document.write( "and opposite angles in a parallelogram are always congruent.<BR>\n" );
document.write( " <BR>\n" );
document.write( "C. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not always true.<BR>\n" );
document.write( "It is true for a rhombus<BR>\n" );
document.write( "(or a square that is a special type of rhombus),<BR>\n" );
document.write( "but it is not true for other parallelograms,<BR>\n" );
document.write( "like the one on the figure above.<BR>\n" );
document.write( " <BR>\n" );
document.write( "D. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not always true.<BR>\n" );
document.write( "It is for a rectangle<BR>\n" );
document.write( "(or a square that is a special type of rectangle),<BR>\n" );
document.write( "but it is not true for other parallelograms,<BR>\n" );
document.write( "like the one on the figure above.<BR>\n" );
document.write( "You can see that XZ is much shorter than WY.<BR>\n" );
document.write( " <BR>\n" );
document.write( "E. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E ALIGN=MIDDLE  ALT=\"E\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not always true.<BR>\n" );
document.write( "It is true for a rhombus<BR>\n" );
document.write( "(or a square that is a special type of rhombus),<BR>\n" );
document.write( "but it is not true for other parallelograms,<BR>\n" );
document.write( "like the one on the figure above.<BR>\n" );
document.write( "You can see that angle ZXY, measuring about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is much smaller than angle WXZ,<BR>\n" );
document.write( "so those two angles adding up to angle WXY are not congruent. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );