Stage: 3 and 4 Challenge Level: 
Four rods of equal length are hinged at their endpoints to form a
rhombus ABCD. The diagonals AC and BD meet at X.
AB is kept fixed and CD is allowed to move in the plane.
Describe the locus of the point X and prove your assertion.
Created with GeoGebra
Generalising. Stage 5 - Reviewed 2012. Mathematical reasoning & proof. Loci. Making and proving conjectures. Interactivities. Rhombi. Circle theorems. Fibonacci sequence. Dynamic geometry.
Published May 1998.
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