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They can be used to prove congruency because the shape and size are maintained.

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Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.

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Q: How can rigid transformations be used to prove congruency?
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