MathDB
rotation of a plane

Source: Romanian TST 1978, Day 3, P2

September 30, 2018
geometry3D geometrytetrahedronrotationLocusPure geometrygeometric transformation

Problem Statement

Points A’,B,C’ A’,B,C’ are arbitrarily taken on edges SA,SB, SA,SB, respectively, SC SC of a tetrahedron SABC. SABC. Plane forrmed by ABC ABC intersects the plane ρ, \rho , formed by A’B’C’, A’B’C’, in a line d. d. Prove that, meanwhile the plane ρ \rho rotates around d, d, the lines AA’,BB’ AA’,BB’ and CC’ CC’ are, and remain concurrent. Find de locus of the respective intersections.
Back to ProblemsView on AoPS