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03-11-2020
Mathematics

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what is true about the number of sides in any regular polygon that has at least one line of symmetry passing through two vertices

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MathPhys MathPhys

13-11-2020

Step-by-step explanation:

A regular n-sided polygon has n lines of symmetry. If n is odd, each line of symmetry passes through only one vertex. If n is even, half the lines pass through two vertices, and half pass through none.

So if a line passes through two vertices, the polygon must have an even number of sides.

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