One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and lengths. Not much structure is provided for answering, so the learner has to follow his own intuition for explanation.

Concepts

diameter, triangles, inscribed angle, isosceles triangles, proofs, circles, radius

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Additional Tags

math

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Instructional Ideas

• Suggested differentiations allow for amending directions to include more or less leading information
• Great introductory or supplemental activity for a lesson on inscribed angles
• Useful for end-of-course open-response practice, particularly with organizing a paragraph-style proof

Classroom Considerations

• Weaknesses in using triangle properties will show up quickly, might need remediation handy

Pros

• Simply stated problem without much prerequisite knowledge required for elegant proof development
• Excellent practice identifying parts of circles and reaching logical conclusions

Cons

• Student worksheet not separated from teacher notes / answer key

Common Core

HSG-C.A.2