Circle Theorems & Properties - Critical Thinking:
Includes theorems for chords, inscribed angles, central angles, radii, tangents, and more.
Two versions are included -
Version 1 (Worksheet) - Students determine whether each statement is "always true," "sometimes true," or "never true." They color each one accordingly and end up with a design that can be checked quickly for accuracy (but cannot be easily predicted by students).
Version 2 (Sorting Activity) - Students can work alone or in pairs or small groups. Students sort the statement cards into the correct category on the sorting mat ("always true," "sometimes true," or "never true"). This works great as a learning station. You can print the cards on colored cardstock and laminate them to re-use each year.
Get your students thinking critically about circle theorems!
See the preview for types of questions.
** This resource is also available as part of a DISCOUNTED bundle: Circles Bundle
The following theorems are included:
- Inscribed angles that intercept the same arc (or congruent arcs) are congruent.
- Radii of the same circle are congruent.
- A radius (or diameter) that is perpendicular to a chord bisects the chord.
- An angle inscribed in a semi-circle is a right angle.
- Arcs that intercept congruent chords are congruent.
- The segments from 2 tangent points to the point that the tangents meet outside the circle are congruent.
- A radius drawn to a tangent is perpendicular to the tangent.
- Chords that are congruent are equidistant from the center.
- The measure of an inscribed angle is half the measure of the central angle that intercepts the same arc.
- Opposite angles in an inscribed quadrilateral are supplementary.
Check out more "Always, Sometimes, Never" Activities
Try these other great resources:
High School Geometry Super Bundle
Circle Theorems Guided Inquiry