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Describe all the symmetries explicitly. How many are rotations (including the identity symmetry)? How many are reflections? How could you shade the figure so that the resulting figure only has three possible rotational symmetries (including the identity symmetry)?

Describe all the symmetries explicitly. How many are rotations (including the identity symmetry)? How many are reflections? How could you shade the figure so that the resulting figure only has three possible rotational symmetries (including the identity symmetry)?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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11. Describe all the symmetries explicitly. a. How many are rotations (including the identity symmetry)? b. How many are reflections? c. How could you shade the figure so that the resulting figure only has three possible rotational symmetries (including the identity symmetry)? 12. Decide whether each of the statements is true or false. Provide a counterexample if the answer is false
Transcribed Image Text:11. Describe all the symmetries explicitly. a. How many are rotations (including the identity symmetry)? b. How many are reflections? c. How could you shade the figure so that the resulting figure only has three possible rotational symmetries (including the identity symmetry)? 12. Decide whether each of the statements is true or false. Provide a counterexample if the answer is false
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