The perimeter of the preimage polygon is equal to the perimeter of the image polygon during a rigid motion.
A rigid motion is a means to move every point in the plane such that (a) the relative distance between points stays the same and (b) the relative position of the points maintains the same.
The perimeter of a form is the space surrounding its edge.
In the question, we are given that a polygon is transformed by a rigid motion.
We are asked about the relationship between the perimeters of the preimage polygon and the image polygon.
In rigid motion, the distance between the points is always the same.
Thus, the perimeter will also be same, as the perimeter is the total length of the boundary of a polygon.
Thus, the perimeter of the preimage polygon is equal to the perimeter of the image polygon during a rigid motion.
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