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Amazing (Posted on 2013-12-07) Difficulty: 4 of 5

Let C and D be distinct points on the semicircle with diameter AB.
Let rays AC and BD intersect at point E and let F be the foot of the
the perpendicular from E to AB. Let P be the intersection of the
perpendicular bisector of AB and line CD and Q a point on CD,
distinct from P.

Prove that FQ ⊥ CD if and only if ∠PAQ = ∠PBQ.

See The Solution Submitted by Bractals    
Rating: 3.0000 (1 votes)

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  Subject Author Date
A specific caseJer2013-12-10 16:19:51
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