Which sequence of transformations would change two congruent figures into two similar figures that are no longer congruent ?

Responses
A reflection and rotationreflection and rotation
B translation and dilationtranslation and dilation
C reflection and translationreflection and translation
D translation and reflection

1 answer

To change two congruent figures into two similar figures that are no longer congruent, you would need to apply a transformation that alters the size of one of the figures while maintaining the shape. The only transformation option that achieves this is dilation (which is not explicitly listed in your responses but is part of option B).

Based on the provided options, B: translation and dilation is the best answer, since a dilation (which scales the figure) paired with a translation (which moves the figure without changing its shape) effectively transforms congruent figures into similar ones that are not congruent anymore.

So, the correct option is:

B: translation and dilation.

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