Let z and zo be two complex numbers. It is given that |z| = 1 and the numbers z, zo, zzo, 1, and 0 are represented in an Argano diagram by the points P, Po, Q, A, and the origin, respectively Show that the triangles POP, and AOQ are congruent. Hence or otherwise, prove that |z-zol = |zzo - 11. 0

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