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Yes. if triangle ABC maps to triangle A'B'C'. then AB = A'B', BC = B'C' and AC = A'C'. By SSS, triangle ABC is congruent to triangle A'B'C'. Since corresponding parts of congruent triangles are congruent angle A = angle A'.

The correct spelling of the term for a length preserving transformation is "isometry" not "isometery".

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Q: Does isometery preserve angle measure
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