MathDB

3

Part of 2020 Austrian Junior Regional Competition

Problems(1)

EM // AC wanted, isosceles trapezoid related

Source: 2020 Austrian Mathematical Olympiad Junior Regional Competition , Problem 3

12/18/2020
Given is an isosceles trapezoid ABCDABCD with AB∥CDAB \parallel CD and AB>CDAB> CD. The projection from DD on AB AB is EE. The midpoint of the diagonal BDBD is MM. Prove that EMEM is parallel to ACAC.
(Karl Czakler)
geometrytrapezoid