A. rotation of [tex]180[/tex]° clockwise about the origin and then dilation with a scale factor of [tex]-1[/tex] centered at the origin will result in a figure that is congruent to the triangle ABC.
Using the transformations rotation, reflection, and translation, we always get a triangle that is congruent to the given triangle.
About dilation, if the triangle is dilated by a scale factor of [tex]1[/tex] or [tex]-1[/tex], it remains congruent to the original triangle and if it is dilated by any other factor, it does not remain congruent.
Here, we can see that only in option A, the triangle is dilated by a scale factor of [tex]-1[/tex]. So, this will result in a figure that is congruent to the triangle ABC.
Learn more about dilation here:
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