Thursday, November 20, 2014

Math problems of the week: Common Core-inspired geometry problem

The Common Core Standard in question:


Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

The source:

The problem:

The justification, solution and scoring:

Student reactions to this kind of problem:

An alternative, more tradition proof:

Extra Credit:

Which proof do you like better?

Use transformations to prove that the two proofs are (or aren't) similar.

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