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Go for the midpoint (Posted on 2016-06-18) Difficulty: 3 of 5
Point P lies within acute angle XOY.

How can we find a point A on OX and a point B on OY such that P is the midpoint of a segment AB drawn between them?

No Solution Yet Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

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Solution Slightly different Solution Comment 3 of 3 |
A slight variation on Bractals'
Note: since A, P, B are co-linear, once you find A you are done.

Construct a perpendicular to XO through P, this line crosses XO at C.
Translate P by the distance CP to P'.
Construct a parallel to XO through P'.
This line hits OY at A.

(I also didn't see a solution quite like this at the other problems Brian Smith linked to.)



  Posted by Jer on 2016-06-18 17:02:59
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