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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 No Subject | Comment 1 of 3

Construct a circle with P as center and
passing through point O. The ray OP
intersects the circle again at point C.
Construct a line through point C and
parallel to line OY which intersects
line OX at point A.
Construct a line through point C and
parallel to line OX which intersects
line OY at point B.
Point P is the midpoint of diagonal OC
of parallogram AOBC. Therefore, point P
is the midpoint of diagonal AB. QED

  Posted by Bractals on 2016-06-18 09:37:41
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