Angles of Rotation in Regular Polygons
Grade 945 min
aligned to G-co.3 Given A Regular Polygon, Describe The Rotations And Reflections That Carry It Onto Itself.
Learning Objective
Students will describe and calculate the angles of rotation that carry a regular polygon onto itself.
Lesson Flow
Watch Video
Rotational Symmetry & Angles of Rotation | Geometry | Eat Pi
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Practice
7 questions • Short answer
Exit Ticket
“What is the smallest angle of rotation that will map a regular nonagon (9 sides) onto itself? Show your work. A regular dodecagon (12 sides) is rotated 30°. Does this rotation map the dodecagon onto itself? Explain why or why not. A regular pentagon is rotated around its center. List three different angles of rotation, less than 360°, that will map the pentagon onto itself. Show your work.”
Teacher Guide
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- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
