Geometric Transformation is a powerful tool in Geometry. We look at one such transformation: Spiral Similarity.
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Problem 1: Suppose O = (0, 0), A = (2, 0) and B = (0, 2). Let T be the spiral similarity that sends A to B (center of T is O). What is the angle of spiral similarity? What is the dilation coefficient?
Problem 2: Can you rigorously prove the claim made at the end of the video?
Problem 3: Revisit the spiral similarity T described in problem 1. This can be realized by multiplying a complex number to A. What is that complex number?