Geometric Transformation is a powerful tool in Geometry. We look at one such transformation: Spiral Similarity.

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## Try these problems. Send answers to helpdesk@cheenta.com

**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?