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Prove: The segment joining the midpoints of two sides of a triangle is parallel to the third side.
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I can't tell you the eaxct rule that proves this but you end up with a similar triangle. One angle definitively stays the same and two of the sides are scaled by half. It's something to do with SAS.
use the alternate interior angle theorem
http://www.mnstate.edu/peil/geometry/C2EuclidNonEuclid/6ExteriorAngleR.htm this problem is similar to what ur trying to find out
hope it helps!!
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