This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Understand rotational symmetry of order 2. Rotational symmetry of order 2 means that a figure looks identical after a rotation of about its center. For a square grid, the center of rotation is the geometric center of the grid.
Step 2: Analyze the 4x4 grid. A 4x4 grid has 16 squares. The center of the grid lies at the intersection of the lines dividing the grid into four 2x2 quadrants. This means the center of rotation is not located within any single square. If we label the squares by coordinates where is the row number (1 to 4) and is the column number (1 to 4
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Understand rotational symmetry of order 2. Rotational symmetry of order 2 means that a figure looks identical after a rotation of 180^ about its center.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.