Question

Point M(x, y) is reflected in line AB, the reflection of M(x, y) in AB is the point M itself.

Assertion (A): The reflection is called invariant transformation.

Reason (R): In case of invariant transformation, the point is its own image.

Options

• A is true, R is false.

• A is false, R is true.

• Both A and R are true and R is the correct reason for A.

• Both A and R are true and R is the incorrect reason for A.

Answer 1

Both A and R are true and R is the correct reason for A.

Explanation:

Point M(x, y) is reflected across line AB, and the reflection is M itself.

Since, the reflection of M(x, y) in AB is the point M itself.

It means this is an invariant transformation.

Thus, both A and R are true and R is correct reason for R.