Geometry Problem 1365: Circle, Tangent, Secant, Chord, Parallel, Midpoint, Sketch, iPad Apps.

Proposition

In the figure below, AB and AC are tangent to a circle O and ADE is a secant. Chord CF is parallel to AE. Chord BF and AE intersect at M. Prove that M is the midpoint of DE.
 


Geometry Problem 1365: Circle, Tangent, Secant, Chord, Parallel, Midpoint, Sketch, iPad Apps
 

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Sketch and Typography of problem 1365 using iPad Apps


Sketch and typography of Geometry Problem 1365, Circle, Tangent, Secant, Chord, Parallel, Midpoint, Sketch, using iPad Apps, Tutor

See solution below


Geometry Problem 1365 Solution(s)