Here are the essential concepts you must grasp in order to answer the question correctly.
Symmetry with respect to the x-axis
A point (x, y) is symmetric to the x-axis if its reflection across the x-axis is (x, -y). This means that the x-coordinate remains the same while the y-coordinate changes sign. For example, the point (5, -3) would have its symmetric point with respect to the x-axis at (5, 3).
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Symmetry with respect to the y-axis
A point (x, y) is symmetric to the y-axis if its reflection across the y-axis is (-x, y). In this case, the y-coordinate remains unchanged while the x-coordinate changes sign. For the point (5, -3), the symmetric point with respect to the y-axis would be (-5, -3).
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Symmetry with respect to the origin
A point (x, y) is symmetric to the origin if its reflection across the origin is (-x, -y). This transformation involves changing the signs of both coordinates. For the point (5, -3), the symmetric point with respect to the origin would be (-5, 3).
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