Question

layla concluded: \i was able to map circle m onto circle n using a sequence of rigid transformations, so the figures are congruent.\ what error did layla make in her conclusion? choose 1 answer: a layla didnt use only rigid transformations, so the figures are not congruent. b its possible to map circle m onto circle n using a sequence of rigid transformations, but the figures are not congruent. c there is no error. this is a correct conclusion.

Explanation:

Rigid transformations (translations, rotations, reflections) preserve the size and shape of a figure. If one circle can be mapped onto another using only rigid transformations, then the two circles must have the same radius (since size is preserved). Congruent figures have the same size and shape. So, if a sequence of rigid transformations maps circle \(M\) onto circle \(N\), the two circles are congruent.

Answer:

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