Question

amad was curious if triangles $\triangle abc$ and $\triangle edf$ were congruent. he was able to map one figure onto the other using a reflection and a rotation.
amad concluded:
\i was able to map $\triangle abc$ onto $\triangle edf$ using a sequence of rigid transformations, so the figures are congruent.\
what error did amad make in his conclusion?
choose 1 answer:
a amad didnt use only rigid transformations, so the figures are not congruent.
b its possible to map $\triangle abc$ onto $\triangle edf$ 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 (reflection, rotation, translation) preserve the shape and size of a figure, so if one triangle can be mapped onto another using rigid transformations, the triangles are congruent. Amad used a reflection and a rotation (both rigid transformations) to map \( \triangle ABC \) onto \( \triangle EDF \), so his conclusion that the figures are congruent is correct. Option A is wrong because reflection and rotation are rigid transformations. Option B is wrong because rigid transformations imply congruence.

Answer:

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