Assertion (A) : Two circles are always similar.
Reason (R) : Similar shapes have same shape and size.
options
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Answer
Two circles always have the same characteristic shape, so any two circles are always similar.
So, Assertion (A) is true.
Similar shapes have the same shape but not necessarily the same size, so the Reason is incorrect.
So, Reason (R) is false.
Hence, option 3 is the correct option.
Assertion (A) : In a size transformation, if the scale factor k is greater than 1 then it is a reduction.
Reason (R) : Size transformation is a process in which a given figure is reduced or enlarged by a certain scale factor such that the resulting figure is similar to the given figure.
options
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Answer
If the scale factor k is greater than 1, the resulting image is larger than the object, which is an enlargement, not a reduction.
So, Assertion (A) is false.
A size transformation is a process in which a given figure is reduced (0 < k < 1) or enlarged (k > 1) by a certain scale factor such that the resulting figure is similar to the given figure.
So, Reason (R) is true.
Hence, option 4 is the correct option.