Question

stefan was able to map $\triangle abd$ onto $\triangle abc$.
stefan concluded:
\i was able to map $\triangle abd$ onto $\triangle abc$ using a sequence of rigid transformations, so the figures are congruent.\
what error did stefan make in his conclusion?
choose 1 answer:
a stefan didnt use only rigid transformations, so the figures are not congruent.
b its possible to map $\triangle abd$ onto $\triangle abc$ 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 shape and size of a figure, so if one figure can be mapped onto another using only rigid transformations, the figures are congruent. Stefan's conclusion that using a sequence of rigid transformations to map \( \triangle ABD \) onto \( \triangle ABC \) implies congruence is correct. Option A is wrong because rigid transformations were used. Option B is wrong because rigid transformations preserve congruence. So Stefan's conclusion has no error.

Answer:

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