3850.11 – Rhombi, Locus of Vertex


Let AB and AC be noncollinear rays issuing from the common endpoint A. Let rhombi be drawn, many rhombi, each having one vertex at A, one vertex on AB, and one vertex on AC. What is the locus of the fourth vertex?


Solution

The desired locus is the bisector of the angle at A between the given rays.

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