MathDB
line construction, which coincides with itself after reflections wrt 3 lines

Source: Netherlands - Dutch NMO 1968 p4

February 1, 2023
geometryreflectionconstruction

Problem Statement

Given is a triangle ABCABC. A line ℓ\ell passes through reflection wrt BCBC changes into the line ℓ′\ell', ℓ′\ell' changes into ℓ′′\ell'' through reflection wrt ACAC and ℓ′′\ell'' through reflection wrt ABAB changes into ℓ′′′\ell'''. Construct the line ℓ\ell given that ℓ′′′\ell''' coincides with ℓ\ell.
Back to ProblemsView on AoPS