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Triangle #2, triangle #3, and triangle #4 are the result of different transformations of triangle #1. Fill in the blank: Triangle #3 is a __________ of triangle #1.Option 1. DilationOption 2. Reflection Option 3. TranslationOption 4. Rotation

Triangle #2, triangle #3, and triangle #4 are the result of different transformations-example-1

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To solve this problem, we will first review what each of the transformations looks like.

a dilation is a scaling of a figure. So basically we take one figure and then stretch it or contract it. We can tell that a dilation was applied if the length of the sides of a figure (if it has any) are different.

In this case, we can see that both triangles 1 and 3 have the same side lengths. So no dilation was applied.

a reflection is a transformation where we "mirror" a figure with respect to a line. We can tell that a reflection was applied if the orientation of the figures are different.

In this case, we can see that both triangles 1 and 3 have the same orientation. Meaning that they "look they same". So no reflection was applied.

a rotation is a transformation where we spin the figure with respect to a fixed point. This transformation also changes the orientation of the figure.

As in this case, both triangles have the same orientation, this means that no rotation was applied.

a translation consists of moving a figure around, without rotating it or dilating it.

As in this case triangle 3 has the same orientation and lengths as triangle 1, but is located somewhere else, it means that a translation was applied to triangle 1 to get triangle 3

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