Congruent Transformation

Abstract

In this work, our main result will be a proof of ErdÖs-Mordell’s theorem: If 0 is any point inside a triangle ABC and P, Q, R are feet of the perpendicular from 0 upon the respective sides BC, CA, AB, then OA + OB + OC > 2(OP+OQ+OP)

Keywords: Congruent Transformation, Isometry, Invariant Points, Reflection

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 23 – 26