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Quadrilateral Locus (Posted on 2012-05-05) Difficulty: 3 of 5


DEFINITION

Let [XYZ] denote the signed area of ΔXYZ ( positive
if the directed angle XYZ is counterclockwise ).

CONSIDER THE FOLLOWING

Let point P be in the plane of ABCD ( a convex quad-
rilateral that is not a parallelogram ). What is the
locus of of points P such that

    [APB] + [CPD] = [BPC] + [DPA] ?

Prove it.

See The Solution Submitted by Bractals    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionHarry2012-05-08 13:00:49
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