Respuesta :

The image point of P(x,y) = (-6, 1) after applying a horizontal reflection is P'(x,y) = (-4, 6).

How to apply a rigid transformation in a point on a Cartesian plane?

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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