which transformations would result in a geometric figure that is exactly the same size and shape as DEF?

The rotation, translation, and reflection are the correct options that do not change the size and shape option (A), (C), and (D) are correct.
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle DEF.
As we know, the rotation will rotate the image according to angle of rotation, but does not change the shape and size of the figure.
Reflection will reflect the image also does not change the shape and size.
Translation shifts the figure, but does not change the shape and size.
Thus, the rotation, translation, and reflection are the correct options that do not change the size and shape option (A), (C), and (D) are correct.
Learn more about the geometric transformation here:
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