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problem 6: state a rule that shows segments remain congruent after rotation. answer: reflection: what did you learn? what was challenging?
In geometry, rigid - motion transformations like rotation preserve distance. Since congruent segments have equal lengths, and rotation is a rigid motion that does not change the length of a segment, the lengths of segments are invariant under rotation.
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A rotation is a rigid motion, and rigid motions preserve distance. So, if a segment has a certain length before rotation, its length remains the same after rotation, meaning the pre - rotated segment and the rotated segment are congruent.