Posted by **Sindy** on Monday, February 6, 2012 at 4:32pm.

The coordinates of triangle ABC areA(0,0), B(2,6), and C(4,2). Using coordinates geometry; prove that, if the midpoints of sides AB and AC are joined, the segment formed is parallel to the third side and equal to one- half the length of the third side.

- geometry -
**MathMate**, Monday, February 6, 2012 at 6:17pm
Hint:

Parallel means they have the same slope.

Slope BC = (yc-yb)/(xc-xb)=-2

Let H be mid-point of AB = (1,3)

Let K be mid-point of AC = (2,1)

Slope of HK = (yk-yh)/(xk-xh)=-2/1=-2

Therefore HK is parallel to BC.

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