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Prove that two circles are orthogonal if and only if the tangent line to each circle at a point of intersection contains the center of the other circle.

Prove that two circles are orthogonal if and only if the tangent line to each circle at a point of intersection contains the center of the other circle.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Advanced Geometry Similarity and Circles

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Prove that two circles are orthogonal if and only if the tangent line to each circle at a point of intersection contains the center of the other circle.
Transcribed Image Text:Prove that two circles are orthogonal if and only if the tangent line to each circle at a point of intersection contains the center of the other circle.
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