Mathematics
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.
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for R.
Both A and R are true and R is incorrect reason for R.
Answer
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.
Hence, option 3 is the correct option.
Related Questions
The point P is reflected in x = 0 to get the point P' and the point P' is reflected in y = 0 to get the point P". Which two points out of P, P' and P" are invariant under this reflection.
P" = P
P" = P'
P' = P
no-one
A triangle ABC is reflected in y-axis to get triangle A'B'C'. Triangle A'B'C' is reflected in line y = 0, to get △A"B"C". Then which of the following is not true ?
△A'B'C' ~ △A"B"C"
△A'B'C' ≅ △A"B"C"
△ABC ≅ △A"B"C"
△ABC ≠ △A"B"C"
Δ ABC is reflected in origin to get Δ A'B'C'.
Statement 1: Δ ABC is congruent to Δ A'B'C'.
Statement 2: The two triangles are similar to each other.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Points (-5, 1) and (4, 1) are invariant points under reflection in the line L.
Statement 1: The equation of the line L is x = 1.
Statement 2: A point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.