MathDB

2008.C3

Part of Durer Math Competition CD 1st Round - geometry

Problems(1)

HIJK is square if ABCD , DEFG are also 2007-08 Dürer Round1 C3

Source:

12/4/2022
Given the squares ABCDABCD and DEFGDEFG, whose only common point is DD. Let the midpoints of segments AGAG, GEGE, ECEC, and CACA be H,I,JH, I, J, and KK respectively . Prove that HIJKHIJK is a square. https://cdn.artofproblemsolving.com/attachments/f/d/c3313e5bbf581977a74ea2b114d14950e38605.png
geometrySquaressquareDurer