document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132035>Question 132035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Segment AD has a midpoint B, BD has a midpoint C.  If A has coordinates (-5, 4) and C has coordinates (10, 11), what are the coordinates of B and D? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96411 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Segment AD has a midpoint B, BD has a midpoint C.  If A has coordinates (-5, 4) and C has coordinates (10, 11), what are the coordinates of B and D?<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "That's a pretty messy problem, but doable.<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "Draw the picture so you can follow what is happening.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Label point D as (a,b)<BR>\n" );
document.write( "Label point B as (x,y)<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "Since C is the midpoint of BD<BR>\n" );
document.write( "x+a = 2*10<BR>\n" );
document.write( "y+b = 2*11<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Since B is the midpoint of AD<BR>\n" );
document.write( "a-5=2x<BR>\n" );
document.write( "b+4=2y<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Look at these two equations:<BR>\n" );
document.write( "x+a = 20<BR>\n" );
document.write( "2x-a = -5<BR>\n" );
document.write( "Add them to solve for x:<BR>\n" );
document.write( "3x = 15<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "Substitute to solve for \"a\":<BR>\n" );
document.write( "5+a=20<BR>\n" );
document.write( "a= 15<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Look at these two equations:<BR>\n" );
document.write( "y+b = 22<BR>\n" );
document.write( "2y-b=4<BR>\n" );
document.write( "Add to solve for y:<BR>\n" );
document.write( "3y = 26<BR>\n" );
document.write( "y = 26/3<BR>\n" );
document.write( "Substitute to solve for \"b\":<BR>\n" );
document.write( "(26/3)+b = (66/3)<BR>\n" );
document.write( "b = 40/3<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Coordinates:<BR>\n" );
document.write( "(a,b) = (15,40/3)<BR>\n" );
document.write( "(x,y) = (5,26/3)<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );