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 and are . 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: 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: <MXY=<MBA and <AYX=<MAP. This is not hard to prove. What is the consequence? 
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  
Senior Member Joined: Apr 2010 Posts: 105 Thanks: 0  Re: Geometric Proof [hard]
So you don't agree with the chord quadrilateral MAYP? Quote:
 

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