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Circles

Circle Theorems (B) WORKSHEET

Suitable for Grades: Geometry, IM 3
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.

Circle Theorems (B) WORKSHEET DESCRIPTION

This worksheet will help learners practice using the circle theorems “opposite angles in a cyclic quadrilateral add to 180 degrees” and “the angle in a semicircle is 90 degrees” along with the theorems covered in Circle Theorems (A). Section A provides some straightforward diagrams with missing angles to find. Section B then increases the complexity of the diagrams and changes the type of angle notation used. Follow on from this worksheet with Circle Theorems (C).

All worksheets are created by the team of experienced teachers at Cazoom Math.

Circle Theorems Worksheet suitable for students learning Geometry

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Frequently Asked Questions

This worksheet is designed for IM 3 and Geometry students. These grade levels typically have the foundational knowledge needed to work with cyclic quadrilaterals and semicircle angle relationships. Students at this level should be comfortable with basic angle calculations and ready to apply more advanced circle theorems.