Home Geometry Problems All problems Concentric circles 461-470 Solution / comment        By Antonio Gutierrez
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.

Concentric circles, secant, congruence


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 ill-structured 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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