Question

alon concluded:
\its not possible to map \\( \overline { j k } \\) onto \\( \overline { n m } \\) using a sequence of rigid transformations, so the segments are not congruent\
what error did alon make in his conclusion?
choose 1 answer:
a one more transformation - a rotation - would map

Explanation:

Rigid transformations (translations, rotations, reflections) preserve segment lengths. Just because a sequence of some rigid transformations doesn't map \(\overline{JK}\) onto \(\overline{NM}\) doesn't mean a full set of rigid transformations (including rotation) can't. If a rotation (a valid rigid transformation) can map \(\overline{JK}\) onto \(\overline{NM}\), then the segments are congruent as rigid - transformations preserve congruence.

Answer:

A. One more transformation - a rotation - would map \(\overline{JK}\) onto \(\overline{NM}\) so the segments are congruent.