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True or false: A sequence of rigid motions that maps a pre-image to an image must contain no fewer than two unique rigid motions for the pre-image and the image to be congruent.

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Answer:

This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions.

Step-by-step explanation:

A sequence of rigid motions that maps a pre-image to a congruent image can contain fewer than two unique rigid motions.

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