Rotation about the origin is commonly described as a rigid transformation in the plane.
MATHEMATICS · Multi-part · CBSE · Mathematics · Exploring Some Geometrical Themes · Exploring Some Geometrical Themes
Problem
Rotation about the origin is commonly described as a rigid transformation in the plane.
(i) What is meant by a rigid transformation? Give one example other than rotation.
(ii) Show algebraically that the distance of any point from the origin remains unchanged after rotation through an angle θ about the origin.
(iii) Hence state the locus of all possible images of a fixed point when it is rotated through every possible angle about the origin.