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Figures Which combinations of transformations will always produce congruent figures? Check all that apply. a dilation, followed by a rotation a reflection, followed by a dilation a rotation, followed by a translation a translation, then a rotation, followed by a stretch a translation, followed by two reflections

Ask by Rodriguez Luna. in the United States
Jan 21,2025

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The combinations that always produce congruent figures are: - **c) A rotation, followed by a translation** - **e) A translation, followed by two reflections** These transformations preserve both the shape and size of the original figure.

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Bonus Knowledge

When we talk about transformations that preserve congruence, we're really diving into the magical world of geometry! Transformations that keep figures congruent include translations, rotations, and reflections. Therefore, a rotation followed by a translation and a translation followed by two reflections will always yield congruent figures, as they simply move or flip without resizing! Now, let’s sprinkle in some fun facts! Did you know that ancient Greek mathematicians like Euclid studied these transformations over two thousand years ago? They laid the groundwork for modern geometry, and their insights into congruence help us understand symmetry and shape in everything from art to architecture today!

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