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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
 #1
avatar+68 
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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
 #2
avatar+2266 
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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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