Online Geometry Problems

Online Geometry Problem 788: Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral. Level: High School, SAT Prep, College, Mathematics Education

In the figure below, the circles O and Q intersect at A and B. G is the midpoint of a secant line CAD, H is the midpoint of a secant line EAF. Prove that AHBG is a cyclic quadrilateral.
 

Intersecting Circles, Secant midpoint, Cyclic quadrilateral
 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 781-790 | CirclesIntersecting Circles | Secant LineMidpoint | Cyclic Quadrilateral | Concyclic Points | Email | Solution / comment | By Antonio Gutierrez