Geometric Transformation is a powerful tool in Geometry. We look at one such transformation: Spiral Similarity.
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:- https://www.youtube.com/watch?v=8o8AAWt960o
In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]
Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.
Cheenta students shine at the Purple Comet Math Meet 2025 organized by Titu Andreescu and Jonathan Kanewith top national and global ranks.
Celebrate the success of Cheenta students in the Stanford Math Tournament. The Unified Vectors team achieved Top 20 in the Team Round.
