Symmetry in Nature!

Geometry Level 1

Consider a circle divided up into 11 equal sections. How many lines of symmetry will this circle have?

0 5.5 11 22

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1 solution

Solution 1 Imagine 11 11 lines emerging from one point. If n n lines emerge from one point, where n n is odd, we shall have n n lines of symmetry, each one beginning at one line and passing in the middle of two more lines. That makes 11 11 lines of symmetry.

Solution 2 Consider an 11 11 -sided polygon. As discussed in the "Recognizing Symmetry" section of Symmetry , an n n -sided polygon has n n lines of symmetry.

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