MathDB
locus of center of rotations

Source: V Soros Olympiad 1997-98 R3 9.5 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics

June 1, 2024
geometryrotationLocusgeometric transformation

Problem Statement

Given triangle ABCABC. Find the locus of points MM such that there is a rotation with center at MM that takes CC to a certain point on side ABAB.