Math CentralQuandaries & Queries


Question from Jerry, a student:

Two circles C1 and C2 meet at the points A and B. The tangent to C1 at A meets C2 at P. Point Q inside C1 lies on the circumference of C2. When produced, BQ meets C1 at S and PA produced at T. Prove that AS is parallel to PQ.


Work backwards from the answer:
What angles have to be equal for the two lines to be parallel?
What theorem says angles inscribed in the SAME circle are equal?
What does some theorem say about the angle between a tangent and a chord?


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