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Proving Circle Theorems: Inscribed Quadrilaterals WORKSHEET
Suitable for Grades: Geometry, IM 1
CCSS: HSG.C.A.2
CCSS Description: 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.
Proving Circle Theorems: Inscribed Quadrilaterals WORKSHEET DESCRIPTION
This worksheet will scaffold a method to prove the circle theorem “Opposite angles in a cyclic quadrilateral add to 180 degrees”. Learners can follow a step-by-step method, filling in gaps of algebraic angle labels and missing words to complete the proof. Learners could then be asked to recreate the proof by hiding this worksheet, only referring to it if needed.
