The incircle O of a triangle ABC touch BC at D. DE is a diameter and AE extended meets BC at F. Prove that BF and CD are congruent. (See the figure.)

#Euclidean #Geometry Problem 703: Triangle, Incircle, Tangency point, Diameter, Congruence, #infographics at https://t.co/hgwu8j31Yf pic.twitter.com/VmOPqxJlyE— Antonio Gutierrez (@gogeometry) October 5, 2017

#Euclidean #Geometry Problem 703: Triangle, Incircle, Tangency point, Diameter, Congruence, #infographics at https://t.co/hgwu8j31Yf pic.twitter.com/VmOPqxJlyE

The @gogeometry journey continues: Why is THIS true? https://t.co/btVaaQg0Y6 @geogebra @panlepan @solvemymaths @dormanmath #math #mathchat pic.twitter.com/zpEZiZmlyY— Tim Brzezinski (@dynamic_math) October 6, 2017

The @gogeometry journey continues: Why is THIS true? https://t.co/btVaaQg0Y6 @geogebra @panlepan @solvemymaths @dormanmath #math #mathchat pic.twitter.com/zpEZiZmlyY

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