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15 votes
15 votes
In a series of transformations, which transformation would make two figures similar as opposed to congruent? answer choices.

a. translation
b. dilation.
c. reflection.
d. rotation.

User El Danielo
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1 Answer

13 votes
13 votes
A: dilations

Reasoning:

By definition, translations, rotations, and reflections preserve the congruence and collinearity of points on figures transformed from the pre-image to the image. This means that the transformed figure has the exact same dimensions: congruent angles, sides, location of points. On the other hand, dilations are a type of transformation that create similar figures. Similar figures are proportional, so they have congruent angles, and thus they are the same shape, but their side lengths are proportional. So, they look like a copy of the original figure, but either enlarged or reduced by a factor, called the scale factor or “k.”
User Ahmed Eid Yamany
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