Question

sabrina was able to map circle p onto circle r (with q and s being on each circle, respectively) using a translation and a dilation.
sabrina concluded:
i was able to map circle p onto circle r using a sequence of rigid transformations and a dilation, so the figures are similar.
what error did sabrina make in her conclusion?
choose 1 answer:
sabrina used a translation, so the circles arent similar.
sabrina used a dilation, so the circles arent similar.
there is no error. this is a correct conclusion.

Explanation:

Similarity of geometric figures is defined as the ability to map one figure onto another using a sequence of rigid transformations (translations, rotations, reflections) and dilations. A translation is a rigid transformation that preserves shape and size (but changes position), and a dilation changes the size proportionally. Since Sabrina used a translation (rigid transformation) and a dilation (which is part of the similarity - transformation toolkit for circles as all circles are similar), her conclusion is correct.

Answer:

C. There is no error. This is a correct conclusion.