The image point of P(x,y) = (-6, 1) after applying a horizontal reflection is P'(x,y) = (-4, 6).
In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:
P'(x,y) = P(x,y) + T(x,y) (1)
Where:
P(x,y) - Original point
T(x,y) - Translation vector
P'(x,y) - Image point
If we know that P(x,y) = (-6, 1) and T(x,y) = (2, 5), then the image point is:
P'(x,y) = (-6, 1) + (2, 5)
P'(x,y) = (-4, 6)
The image point of P(x,y) = (-6, 1) after applying a horizontal reflection is P'(x,y) = (-4, 6).
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