GM:G-C.A.2

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

Khan Academy Resources

Challenge problems: Inscribed anglesChallenge problems: radius & tangentInscribed angle theorem proofDetermining tangent lines: anglesChallenge problems: Inscribed shapesDetermining tangent lines: lengthsChallenge problems: circumscribing shapesInscribed anglesTangents of circles problemsInscribed shapesInscribed angle theorem proofProof: Right triangles inscribed in circlesCircles glossaryProof: radius is perpendicular to a chord it bisectsProof: perpendicular radius bisects chordInscribed shapes: find inscribed angleTangents of circles problem (example 1)Inscribed shapes: find diameterInscribed anglesProof: Radius is perpendicular to tangent lineInscribed shapes: angle subtended by diameterTangents of circles problem (example 3)Proof: Segments tangent to circle from outside point are congruentTangents of circles problem (example 2)

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