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Congruent figures have the same shape and size.
See solution.
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Congruent Figures |
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Two figures are congruent when they have the same shape and size. |
Now, recall what we know about translations, reflections, and rotations. We will focus on whether or not each of these transformations affects the shape or size of a figure.
| Translation | A translation slides a figure around without turning it. It does not affect the shape or size of the figure. |
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| Reflection | A reflection creates a mirror image of a figure. It does not affect the shape or size of the figure. |
| Rotation | A rotation turns a figure around a fixed point. It does not affect the shape or size of the figure. |
None of the three transformations affects the shape or size of the figure. Therefore, if we apply any sequence of translations, reflections, and rotations to a figure, the shape and size of the figure remains unchanged. This means that an image of a sequence of translations, reflections, and rotations is congruent to the preimage.
