Triangle abc is transformed to obtain triangle a′b′c′:
which statement is correct for triangle abc. and triangle a prime b prime c prime.?

a) triangle abc is similar to triangle a prime b prime c prime. because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
b) triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
c) triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
d) triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees