document.write( "Question 856883: A (0,1) , B (-2,3) , C (2,-1) are the vertices of a triangle ABC. P and Q are the midpoints of the sides AB and AC.
\n" ); document.write( "Show that PQ is parallel to BC. \n" ); document.write( "

Algebra.Com's Answer #516179 by josgarithmetic(39617) $\"\"$ $\"About$

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P: $\"x=%280-2%29%2F2=-1\"$ ; $\"y=%281%2B3%29%2F2=2\"$
\n" ); document.write( "P is (-1,2)
\n" ); document.write( "-
\n" ); document.write( "Q: $\"x=%280%2B2%29%2F2=1\"$ ; $\"y=%281-1%29%2F2=0\"$
\n" ); document.write( "Q is (1,0)
\n" ); document.write( "-
\n" ); document.write( "Slope of BC, $\"%283-%28-1%29%29%2F%28-2-2%29=4%2F%28-4%29=-1\"$ .
\n" ); document.write( "Slope of PQ, $\"%282-0%29%2F%28-1-1%29=2%2F%28-2%29=-1\"$ .
\n" ); document.write( "Slopes of BC and PQ are both -1, equal, so BC and PQ are parallel. \n" ); document.write( "

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