Ahmad notices that the floor tiles at Sentosa are shaped like regular hexagons. How many lines of symmetry does each regular hexagon tile have?
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Worked Solution
Step 1: A regular hexagon has 6 equal sides and 6 equal angles.
Step 2: For any regular polygon with n sides, the number of lines of symmetry equals n.
Step 3: Therefore a regular hexagon has 6 lines of symmetry.
Step 4: To verify: there are 3 lines through pairs of opposite vertices AND 3 lines through midpoints of pairs of opposite sides. 3 + 3 = 6.
Answer: 6.
Correct answer: 6
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