Proofs in Plane Geometry - Alternate Segment Theorem

Proofs in Plane Geometry - Alternate Segment Theorem

TGM Original Questions

In the diagram, \(TCS\) is the tangent to the circle at \(C\). \(TBA\) and \(RCD\) are straight lines that are parallel to each other. Prove that

  1. angle \(BCT =\) angle \(ACD\),
  2. triangles \(BTC\) and \(DAC\) are similar, and
  3. \(AD = BC\).

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