There are an infinite number of points on a circle; can you find nine of them? After putting together a nine-point circle, pupils use constructions and their knowledge of triangle segments to determine the center of the circle. Learners execute multiple methods to achieve this task.

Concepts

geometric constructions, circles, squares

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Additional Tags

math

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Instructional Ideas

• Multiple constructions are performed on the same triangle which becomes cluttered; allow pupils to erase as needed

Classroom Considerations

• Utilizes the construction from lesson #31 in this series
• Learners should have a strong understanding of the special segments of a triangle and their points of concurrency

Pros

• Vocabulary is highlighted and used consistently throughout the lesson

Cons

• The task may be too advanced for the average learner

Common Core

HSG-CO.D.13