Question

i was able to map line segment $overline{ab}$ onto line segment $overline{cb}$ using a sequence of rigid transformations and dilations, so the figures are similar. what error did erin make in her conclusion? choose 1 answer: a erin used a dilation, so the segments arent similar. b the segments are congruent, not similar. c there is no error. this is a correct conclusion.

Explanation:

Two line - segments that can be mapped onto each other using rigid transformations (translations, rotations, reflections) and dilations are similar. Congruent figures are a special case of similar figures where the scale factor of dilation is 1. Since line segments are one - dimensional figures, if they can be mapped onto each other using rigid transformations and dilations, they are similar. In the case where only rigid transformations (no non - identity dilation) are used, they are congruent. But congruent figures are also similar. So Erin's conclusion is correct.

Answer:

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