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**+1 **

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**0 **

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