Geometry Problem 1339: Circle, Diameter, Tangent, Secant, Parallelogram. Math Infographic.

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.

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

See solution below

Sketch and typography of problem 1339

Sketch and typography of Geometry Problem 1339: Circle, Diameter, Tangent, Secant, Parallelogram

See solution below


Geometry Problem 1339 Solution(s)