Geometry Problem 1366: Square, Angle Bisector, Perpendicular, Concyclic Points, Circle, Sketch, iPad Apps.

Proposition

In square ABCD, point E is on side AD. The angle bisector of EBC meets CD at F, and a perpendicular from F to BE meets BE at G. Extending AG and BF, they intersect at H. Prove that A, B, C, D, and H are concyclic. (See figure).

 


Geometry Problem 1366: Square, Angle Bisector, Perpendicular, Concyclic Points, Circle, Sketch, iPad Apps

See solution below


 


Flyer of problem 1366 using iPad Apps


Circle Mystery in Square ABCD: Prove Points A, B, C, D, and H Are Concyclic, Flyer using iPad Apps, Tutor, Square, Angle Bisector, Perpendicular, Concyclic Points, Circle

Sketch and Typography of problem 1366 using iPad Apps


Sketch and typography of Geometry Problem 1366 using iPad Apps, Tutor, Square, Angle Bisector, Perpendicular, Concyclic Points, Circle

See solution below


 


Geometry Problem 1366 Solution(s)