2 Let PÅ be a tangent line which is tangent to a circle at the point A. Let DĆ be a secant line intersecting the circle at points C and D and intersecting the tangent line at P. Prove (PA)² = (PC)(PD) and < APC = ÷(DA – CA).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 31E: Suppose that the circle with center 0, 0 and radius length r contains the point a,b. Find the slope...
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2 Let PÅ be a tangent line which is tangent to a circle at the point A. Let DC be a secant line intersecting the circle at points C and
D and intersecting the tangent line at P. Prove (PA)? = (PC)(PD) and< APC = ÷(DA – CA).
Transcribed Image Text:2 Let PÅ be a tangent line which is tangent to a circle at the point A. Let DC be a secant line intersecting the circle at points C and D and intersecting the tangent line at P. Prove (PA)? = (PC)(PD) and< APC = ÷(DA – CA).
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