Geometry Problem 1339: Circle, Diameter, Tangent, Secant, Parallelogram

As shown in the figure below, EA is tangent to a circle of center O with diameter AB at A and ECD is a secant. BC and BD cut EO at F and G, respectively. Prove that AFBG is a a parallelogram.
This entry contributed by Peter Tran.

Geometry Problem 1339: Circle, Diameter, Tangent, Secant, Parallelogram

 


 

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