A triangle has vertices of P, Q , R

The coordinates of P are (-3, -6)

The coordinates of Q are (1, 4)

The coordinates of R are (5, -2)


M is the midpoint of PQ 

N is the midpoint of QR

Prove that MN is parallel to PR 

show your working out

Guest Mar 6, 2018

First, you start with writing out the triangle and the givens.



Angle Q = Angle Q -> Angles equal themselves




QM congruent QP -> QM is half of QP since M is the midpoint, so they're congruent



QN congruent QR -> Same reason as one above



Triangle QMN congruent Triangle QPR -> SAS



MN || PR -> Same Side Rule (Forgot what it's called exactly)



There ya have it

CoopTheDupe  Mar 6, 2018

Those are some pretty diagrams, CoopTheDupe!


I am fairly certain that you were referring to the Triangle Proportionality Theorem when you stated "MN || PR -> Same Side Rule (Forgot what it's called exactly)"

TheXSquaredFactor  Mar 6, 2018

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