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Given: PA is tangent to the circle with center O. Prove: triangle APB is similar to triangle CPA. A, B, and C are points on the circle. P is outside the circle.
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Given: PA is tangent to the circle with center O. Prove: triangle APB is similar to triangle CPA. Statements 1. Segment PA is tangent to the circle with center O. 2. m<CAP = (1/2)* m Arc AC 3. m<B = (1/2) * m Arc AC 4. <CAP ≅ < B 5.< P ≅ <P 6. Triangle APB ~ Triangle CPA
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