Which of the following shapes has exactly 4 lines of symmetry?
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Worked Solution
Step 1: Check the square.
A square has 4 lines of symmetry:
(i) Vertical line through midpoints of top and bottom sides
(ii) Horizontal line through midpoints of left and right sides
(iii) Diagonal from top-left to bottom-right
(iv) Diagonal from top-right to bottom-left
Total = 4 lines of symmetry.
Step 2: Check the other options.
Rectangle (length ≠ width): 2 lines only (through midpoints; diagonals do not work).
Equilateral triangle: 3 lines (one from each vertex to the opposite midpoint).
Rhombus (non-square): 2 lines (the two diagonals only).
Answer: Square
Correct answer: Square
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