Ahmad is studying regular polygons in his Mathematics class. How many MORE lines of symmetry does a regular hexagon have than a regular pentagon?
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Worked Solution
Step 1: Recall the rule — a regular polygon with n sides has exactly n lines of symmetry.
Step 2: A regular hexagon has 6 sides, so it has 6 lines of symmetry (3 through opposite vertices + 3 through opposite edge-midpoints).
Step 3: A regular pentagon has 5 sides, so it has 5 lines of symmetry (each line passes through one vertex and the midpoint of the opposite edge).
Step 4: Find the difference: 6 − 5 = 1.
Final: The regular hexagon has 1 more line of symmetry than the regular pentagon.
Answer: 1
Correct answer: 1
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