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**There are a few different ways that you can answer this question – see the mark scheme for all of the ways!**A triangle has vertices

*P*,

*Q*and

*R*.

The coordinates if

*P*are (-3, -6)

The coordinates if

*Q*are (1, 4)

The coordinates if

*R*are (5, -2)

*M*is the midpoint of

*PQ*.

*N*is the midpoint of

*QR*.

Prove that

*MN*is parallel to

*PR*.

You must show each stage of your working.

**Question**

19)

A triangle has vertices

The coordinates if

The coordinates if

The coordinates if

Prove that

You must show each stage of your working.

A triangle has vertices

*P*,*Q*and*R*.The coordinates if

*P*are (-3, -6)The coordinates if

*Q*are (1, 4)The coordinates if

*R*are (5, -2)*M*is the midpoint of*PQ*.*N*is the midpoint of*QR*.Prove that

*MN*is parallel to*PR*.You must show each stage of your working.

**[4 marks]**