37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of intersection is perpendicular, at that point, to the radius drawn from the other circle. Prove that if two orthogonal circles have two points of intersection, the radii are perpendicular at both points of intersection.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 20E: A quadrilateral RSTV is circumscribed about a circle so that its tangent sides are at the endpoints...
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37. Two circles are said to be orthogonal if the radius drawn from one of
the circles to a point of intersection is perpendicular, at that point, to
the radius drawn from the other circle. Prove that if two orthogonal
circles have two points of intersection, the radii are perpendicular at
both points of intersection.
Transcribed Image Text:37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of intersection is perpendicular, at that point, to the radius drawn from the other circle. Prove that if two orthogonal circles have two points of intersection, the radii are perpendicular at both points of intersection.
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