Problem 466: Concentric Circles, Secant, Congruence, Measurement.
Level: High School, College, SAT Prep. The figure shows two concentric circles and a secant ABCD. Prove that AB and CD are congruent.
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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