Proofs in Plane Geometry - Alternate Segment Theorem

Proofs in Plane Geometry - Alternate Segment Theorem

TGM Original Questions

In the diagram, \(AP\) and \(AQ\) are tangents to the smaller and larger circles at \(A\). Given that \(QBR\) is a straight line, prove that

  1. \(RP\) is parallel to \(AQ\), and
  2. triangles \(RPM\) and \(QAM\) are similar.

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