Mathematics
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 by a certain scale factor.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Answer
If k is greater than 1, the resulting image is larger than the object, which is an enlargement.
Assertion is false.
A size transformation (or dilation) is a general process that can result in an enlargement (k > 1), or reduction (0 < k < 1), or an identity transformation (k = 1).
Reason is false.
Both A and R are false
Hence, option 4 is the correct option.
Related Questions
In case of solids, we have volume of the resulting figure = …………… × (volume of the given figure), where k is the scale factor.
k
k2
k3
3k
Assertion (A) : Two circles are always similar.
Reason (R) : Similar shapes have same shape and size.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false