Question

molly was curious if quadrilaterals abcd and efgh were congruent, so she tried to map one figure onto the other using transformations.
molly concluded:
\its not possible to map abcd onto efgh using a sequence of rigid transformations, so the quadrilaterals are not congruent.\
what error did molly make in her conclusion?
choose 1 answer:
a one more transformation — a rotation — would map abcd onto efgh. so the quadrilaterals are congruent.
b one more transformation — a reflection — would map abcd onto efgh. so the quadrilaterals are congruent.
c there is no error. this is a correct conclusion.

Explanation:

To determine congruence of quadrilaterals via rigid transformations (translations, rotations, reflections), we analyze the figures. After possible translations, a reflection (flipping over a line) can map ABCD to EFGH. Molly missed that a reflection is a rigid transformation that could complete the mapping, so the quadrilaterals are congruent. Option B states a reflection would map them, which is correct. Option A's rotation is not needed, and Option C is wrong as there is an error in Molly's conclusion.

Answer:

B. One more transformation – a reflection – would map ABCD onto EFGH. So the quadrilaterals are congruent.