document.write( "Question 215605: Hi - another question we have is \"A line passing through the mid-point of one side of a triangle will passt through the mid point of a second side if and only if it is parallel to the third side of the triangle\". We think it has to deal with extending lines to make a quadrilateral and then using congruent triangles...but again we are not sure where to go next...
\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #162903 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
\"A line passing through the mid-point of one side of a triangle will passt through the mid point of a second side if and only if it is parallel to the third side of the triangle\". We think it has to deal with extending lines to make a quadrilateral and then using congruent triangles...but again we are not sure where to go next...
\n" ); document.write( "-----------------------------
\n" ); document.write( "Draw the figure.
\n" ); document.write( "Notice the two overlapping triangles.
\n" ); document.write( "Notice that two of the sides are transversals cutting the two
\n" ); document.write( "parallel sides (the base of the larger and the base of the smaller triangle)
\n" ); document.write( "---
\n" ); document.write( "Using AAA you can show the two triangles are similar.
\n" ); document.write( "You can then conclude what you are trying to prove.
\n" ); document.write( "=====================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );