Back to:
Proving Circle Theorems: Angle in the Center 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: Angle in the Center WORKSHEET DESCRIPTION
This worksheet will scaffold a method to prove the circle theorem “The angle at the center is twice the angle at the circumference”. Learners can follow a step-by-step method, filling in gaps in algebraic angle labels to complete the proof. Learners could then be asked to recreate the proof by hiding this worksheet, only referring to it if needed.
