Go Geometry Problem, Online Math Education Problem 469: Isosceles triangle, Midpoint, Transversal, Congruence

The figure shows an isosceles triangle ABC (AB = BC). Lines AB, AC, and BC are cut by a straight line at points D, E, and F respectively. If E is the midpoint of DF, prove that AD and CF are congruent.
 

Isosceles triangle, Midpoint
 

Poster of Problem 469: Sketching, Typography, Art, iPad Pro

Poster of Problem 469: Sketching, iPad, Typography, Art, Isosceles triangle, Midpoint, Transversal, Congruence.

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