Question

pedro was curious if circles a and b (with x and y being on each circle, respectively) were similar, so he tried to map one figure onto the other using rigid transformations.
pedro concluded:
\it’s not possible to map circle a onto circle b using a sequence of rigid transformations, so the circles are not similar.\
what error did pedro make in his conclusion?
choose 1 answer:
a one more transformation — a rotation — would map circle a onto circle b. so the circles are similar.
b one more transformation — a dilation — would map circle a onto circle b. so the circles are similar.
c there is no error. this is a correct conclusion.

Explanation:

To determine the similarity of circles, we know that all circles are similar because a dilation (a non - rigid transformation that changes the size but not the shape) can be used to map one circle onto another after rigid transformations (like translation, rotation, reflection). Pedro thought only rigid transformations are needed, but he forgot that dilation (along with rigid transformations) can be used. Option A is wrong because rotation is a rigid transformation and won't change the size. Option C is wrong as Pedro's conclusion is incorrect. Option B is correct as dilation can adjust the size to map circle A onto circle B, showing they are similar.

Answer:

B. One more transformation — a dilation — would map circle A onto circle B. So the circles are similar.