document.write( "Question 212913: if b is the mid point of ac and c is the mid point of bd, where a,b,c,d lie on a straight line, say why ab=cd? \n" ); document.write( "

Algebra.Com's Answer #160837 by HyperBrain(694) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since, b is the midpoint of ac then a, b, and c are collinear (the points lie on the same line)
\n" ); document.write( "Since, c is the midpoint of bd then b, c, and d are collinear as well.
\n" ); document.write( "So, a, b, c, and d are collinear.
\n" ); document.write( "---
\n" ); document.write( "Since b is the midpoint of ac, then ab=bc
\n" ); document.write( "Since c is the midpoint of bd, bc=cd.
\n" ); document.write( "---
\n" ); document.write( "Now, since ab=bc and bc=cd, then
\n" ); document.write( "ab=cd \n" ); document.write( "

\n" );