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The term used is reflection. This operation can be applied to any flat two dimensional figure or image.

When one speaks of flipping a graph or figure across a line, it is the same as saying reflecting it through a line.

To do this, pick any straight line in the same plane as the image. Then, for every point on the image draw a perpendicular to the line. Map the initial point to a point on the opposite side the same distance along the perpendicular. Do this for all points of the image.

This is the same as using the line as an axis of rotation where the image is rotated out of the plane along the axis by 180 degrees to returned back to the plane.

This is one operation of a large set of transformations that can be defined. When one gets very sophisticated about combining these various operations, one is led to the study of group theory.

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12y ago

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