IMO 2018 Shortlist G2
Let ABC be a triangle with AB “ AC, and let M be the midpoint of BC. Let P be a point su h that PB ă PC and PA is parall...
Category: Geometry
Problem
Let ABC be a triangle with AB “ AC, and let M be the midpoint of BC. Let P be a point su h that PB ă PC and PA is parallel to BC. Let X and Y be points on the lines PB and PC, respe tively, so that B lies on the segment PX, C lies on the segment PY , and =PXM “ =PY M. Prove that the quadrilateral APXY is y li . (Australia)