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How many lines of symmetry does a slice of lemon with 8 equal sections have? What are the order and angle of rotation?

User Arilia
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Answer:

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Explanation:

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User Anad
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A slice of lemon with 8 equal sections has 2 lines of symmetry.

How to describe the order ?

Central axis passes vertically through the center of the slice, dividing it into two identical halves.

Any diameter passing through the center that intersects the central axis at its midpoint will also be a line of symmetry. In an 8-section lemon, there are 8 such diameters, each passing through a different pair of opposite sections.

Order of rotation: 180 degrees. Rotating the slice 180 degrees around the central axis will bring it back to itself, indicating a reflectional symmetry.

Rotating the slice 45 degrees around any diameter will bring it to the next pair of opposite sections, effectively superimposing them. Therefore, each diameter has a 45-degree rotational symmetry.

User MichaelThePotato
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