Problem 358. Isosceles triangle 808020, Circle, Angles, Congruence.
Level: High School, College, SAT Prep.
In the figure below, triangle ABC is
isosceles with AB = BC and angle B = 20°. The cevian AD is equal
to BD and the circle of center C and radius equal to CA cut AB
and BC at points E and F, respectively.
Geometry problem solving
Geometry problem solving is one of the most challenging skills for students to learn. When a problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an illstructured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."

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