SOLUTION: 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. Show that PQ is parallel to BC.

SOLUTION: 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. Show that PQ is parallel to BC.

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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.
Show that PQ is parallel to BC.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
P: ;
P is (-1,2)
-
Q: ;
Q is (1,0)
-
Slope of BC, .
Slope of PQ, .
Slopes of BC and PQ are both -1, equal, so BC and PQ are parallel.
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