This card sort is a great way to practice calculating missing angles and arcs using relationships of central angles, inscribed angles, tangent lines, and secant lines.
Before the activity, be sure students are familiar with the circle theorems and formulas used to calculate missing arcs and angles. Students sort the cards based the vertex location and which formula will be used to solve. Then they use given information to solve for unknown arcs or angles. Problems include angles with vertices inside a circle, outside a circle, and on a circle.
Tips are included for helping the activity go smoothly. Eight cards are provided. The four on the left are less challenging than the four on the right, so differentiation can be utilized if needed.
Answer key is provided.
Common Core Standard:
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.
Check out my Arc Measures Foldable! It works great in conjunction with this activity.
Thank you for your interest in this resource from Rise over Run.
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