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

2+0 Answers


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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