Thursday, September 24, 2015
Unizor - Geometry3D - Symmetry - Problems 1
Unizor - Creative Minds through Art of Mathematics - Math4Teens
Symmetry in 3D Space - Problems 1
Given are plane γ, point A outside it and point P lying on it: A∉γ; P∈γ.
Point B is symmetrical to point A relative to plane γ.
Point C is symmetrical to point A relative to point P.
Prove that points B and C are symmetrical relative to a line d perpendicular to plane γ and going through point P.