Home Geometry Problems All problems Concentric circles 461-470 Solution / comment        By Antonio Gutierrez
Problem 467: Concentric Circles, Chord, Tangent, Congruence, Measurement. Level: High School, College, SAT Prep.

The figure shows two concentric circles and a chord AB tangent to circle C2 at C. Prove that AC and BC are congruent.

Concentric circles, chord, tangent


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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