Geometry Problem 1291

Elements: Three Squares, Collinear Vertices, Midpoint, Congruence

The figure below shows the squares ABCD, AEFG, and CEHJ. Prove that (1) The vertices G, B, and J are collinear; (2) B is the midpoint of GJ.


Geometry Problem 1291: Three Squares, Collinear Vertices, Midpoint, Congruence