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<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>
<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>
<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>

Hello, I have an urgent question from a paper

https://www.google.co.uk/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=2ahUKEwjR1_O05-XfAhWgThUIHfGFCwQQFjAAegQICRAC&url=https%3A%2F%2Fmathsorchard.weebly.com%2Fuploads%2F2%2F7%2F3%2F1%2F27311819%2Fal_maths_pure_unit_12_test.doc&usg=AOvVaw1Jr6IUj3sS4NEQ2hGXN8l0

If anyone can read that link of an online copy I found, it is question 7.
From the pearson GCE mathematics advanced level a level unit 12 test.

I am completely stuck so any help is appreciated!
I only taught Y8 maths, so this is likely to be wrong!
I worked out vectors of each line endpoint (eg M = 1/4 a)
Found out the midpoints of each line (added vectors and halved!)
Seemed to work - but I recommend you wait for someone who knows what they're doing!
if you can prove that KLNM is a parallelogram ( including a rectangle ) that is enough.
Original post by itsspelthannah
https://www.google.co.uk/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=2ahUKEwjR1_O05-XfAhWgThUIHfGFCwQQFjAAegQICRAC&url=https%3A%2F%2Fmathsorchard.weebly.com%2Fuploads%2F2%2F7%2F3%2F1%2F27311819%2Fal_maths_pure_unit_12_test.doc&usg=AOvVaw1Jr6IUj3sS4NEQ2hGXN8l0

If anyone can read that link of an online copy I found, it is question 7.
From the pearson GCE mathematics advanced level a level unit 12 test.

I am completely stuck so any help is appreciated!


Firstly, pick a common point that you can get to through both vectors (e.g. OP). Then express OP travelling through each diagonal individually.
e,g OP = OM + MP = OM + k(ML) and
OP = ON + NP = ON + z(NK)

where k and z are scalars. Basically, because you are proving they bisect each other, the scalars should be the same and equal to 0.5 .
Try and prove this using the above expressions

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