ABCD is a quadrilateral inscribed in a circle. The tangents at A, B, C, D form a quadrilateral PQRS. If PQRS is cyclic, prove that AC is perpendicular to BD.

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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ABCD is a quadrilateral inscribed in a circle. The tangents at A, B, C, D form a quadrilateral PQRS. If PQRS is cyclic, prove that AC is perpendicular to BD.

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