A regular polygon has exactly 4 lines of symmetry. How many sides does this polygon have?
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Worked Solution
Step 1: Recall the rule for regular polygons.
A regular polygon with n sides has exactly n lines of symmetry.
Step 2: Apply the rule.
If the number of lines of symmetry = 4, then n = 4.
Step 3: Identify the polygon.
A regular 4-sided polygon is a square.
A square has 4 lines of symmetry: 2 through midpoints of opposite sides and 2 through opposite corners.
Answer: 4 sides
Correct answer: 4
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