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 April 24th, 2010, 12:43 PM #21 Newbie   Joined: Apr 2010 Posts: 15 Thanks: 0 Re: Geometric Proof [hard] No, I don't think either MY or AP are diameters, GeoGebra says so too I think I'm giving up for today
 April 25th, 2010, 05:30 AM #22 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2215 In general, it is not true that MP = AY, because MY is a diameter of the circle through A, M, P, and Y, but MP is not.
 April 25th, 2010, 05:51 AM #23 Newbie   Joined: Apr 2010 Posts: 15 Thanks: 0 Re: Geometric Proof [hard] MY isn't necessarily the circle's diameter, neither is AP. I'm starting to think the ques is not solvable
 April 25th, 2010, 06:12 AM #24 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Re: Geometric Proof [hard] MY is the diameter, because $\angle MPY$ and $\angle MAY$ are $90^\circ$. Move p and/or a on the circle, and the angles will be 90^\circ. MY donīt move, and are diameter; MAYP can form a square if you like, to proof it, but not in the example. Do you understand that? I have been calculating on some angles and found this: $2\cdot \angle PAY=\angle BAM, \angle BAM=180^\circ-\angle PBM=90^\circ-\angle PBX$ Can you find this as well? Hoempa
 April 25th, 2010, 07:31 AM #25 Newbie   Joined: Apr 2010 Posts: 15 Thanks: 0 Re: Geometric Proof [hard] I think I got it, but ?AMP will have to be 90° am I allowed to redraw the figures so this is applied?
 April 25th, 2010, 08:01 AM #26 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Re: Geometric Proof [hard] AMP is not necessarily 90 deg. That would mean that PY//AM. or K//AM if you like; k=PY (sort of) Hoempa
 April 27th, 2010, 09:45 AM #27 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Re: Geometric Proof [hard] Have you found proof yet? (Is it provable anyway? Should be, I think.) If someone could give a little help, would be appreciated. Hoempa
 April 28th, 2010, 01:39 AM #28 Senior Member   Joined: Apr 2010 Posts: 105 Thanks: 0 Re: Geometric Proof [hard] There are two chord quadrilaterals MAYP and MBPX, why? Try to prove:
 April 28th, 2010, 06:41 AM #29 Newbie   Joined: Apr 2010 Posts: 15 Thanks: 0 Re: Geometric Proof [hard] I don't think you can prove that, MAP is a lot sharper than AYX
April 28th, 2010, 07:33 AM   #30
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Re: Geometric Proof [hard]

So you don't agree with the chord quadrilateral MAYP?

Quote:
 Originally Posted by gadgou I don't think you can prove that, MAP is a lot sharper than AYX
I'm sorry, but this is not a mathematical argument. Besides it is <MAP=<AYX.

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