Online Geometry Problems

Geometry Problem 1085: Intersecting Circles, Concyclic Points, Cyclic Quadrilateral. Level: High School, SAT Prep, College, Math Education

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The figure below shows circles O and Q intersecting at A and B and a line CDEF ( C and E on circle O, D and F on circle Q). CA and BF meet at H, DA and BE meet at G. Prove that A, B, H, and G are concyclic points.
 

Infographic Geometry problem 1085: Intersecting Circles, Concyclic Points, Cyclic Quadrilateral
 

See also: Art of problem 1085 using iPad


 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1081-1090 | Circle | Cyclic Quadrilateral | Concyclic Points | Email | Solution / comment | by Antonio Gutierrez
Last updated: Feb 18, 2015