Question

start week 2 early:
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?
pose 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 shape and size of a figure. If one circle can be mapped onto another using only rigid transformations, they must have the same radius (since size is preserved). Congruent circles have the same radius. If Layla used only rigid transformations to map circle \(M\) onto circle \(N\), then the two circles have the same size (radius) and shape (both are circles), so they are congruent.

Answer:

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