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January 16, 2020

Spiral Similarity

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

Watch video

Try these Spiral Similarity problems. Send answers to

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?

Also try the problems related to Cyclic Quadrilaterals.

You may also click the link to learn its application:-

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