Proofs in Plane Geometry - Similarity

Proofs in Plane Geometry - Similarity

TGM Original Questions

In the diagram, the smaller circle and the larger circle intersect at \(B\) and \(D\). Given that \(ABC\) and \(EDC\) are straight lines and that \(BE\) is a diameter of the smaller circle, prove that

  1. \(BC\) is a diameter of the larger circle, and
  2. triangles \(BDC\) and \(EAC\) are similar.

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