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25 votes
After a sequence of transformations involving reflections, rotations, and translations, can someone explain why the final image is congruent?

User Viktor Stolbin
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2 Answers

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14 votes
Transfer me to your sequence .1a
User Dilantha
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19 votes

Answer: It's congruent because translations, rotations, and reflections only move the shape's location and do not change the shape itself. A rotation changes the shape's position by rotating it around a specific point, but that shape is still the same. Reflections only mirror the shape, so while it will look inverted, it is still the same shape. Translations Only move a shape up or down along the y-axis or laft and right along the x-axis. Congruence essentially means that the shape has the same form and dimensions, not the exact location.

User AndrewPolland
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