Question: Let A, B, C, and D be distinct cocircular points and fix a line m not through A. Let X, Y, and Z be the

Let A, B, C, and D be distinct cocircular points and fix a line m not through A. Let X, Y, and Z be the points where AB, AC, and AD, respectively, meet line m and let W be the intersection point of m with the tangent at A to the circle through A, B, C, and D. Show that cr(A, B, C, D) = cr(W, X, Y, Z), where cr is a cross ratio.

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