orthogonal projection of a tetrahedron onto a plane is a trapezoid
Source: Tournament of Towns, Senior A-Level , Spring 2019 p5
May 13, 2020
orthogonal projectionprojection3D geometrygeometrytetrahedrontrapezoid
Problem Statement
The orthogonal projection of a tetrahedron onto a plane containing one of its faces is a trapezoid of area , which has only one pair of parallel sides.
a) Is it possible that the orthogonal projection of this tetrahedron onto a plane containing another its face is a square of area ?
b) The same question for a square of area .(Mikhail Evdokimov)