Sabrina was able to map circle P
PP onto circle
R
RR (with
Q
QQ and
S
SS being on each circle, respectively) using a translation and a dilation.

P
P
Q
Q
R
R
S
S
Sabrina concluded:
"I was able to map circle
P
PP onto circle
R
RR using a sequence of rigid transformations and a dilation, so the figures are similar."
What error did Sabrina make in her conclusion?