By understading the concept of rigid transformations and applying the equation of reflection across the x-axis, we find that Q(x, y) = (- 7, 2) and S(x, y) = (3, -6).
Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. Reflections across the x-axis are examples of rigid transformations.
If we know that P(x, y) = (7, 2) and R(x, y) = (- 3, - 6) and X'(x, y) = (x, - y), then the coordinates of points Q and S are, respectively:
Q(x, y) = (- 7, 2), S(x, y) = (3, -6)
By understading the concept of rigid transformations and applying the equation of reflection across the x-axis, we find that Q(x, y) = (- 7, 2) and S(x, y) = (3, -6).
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