Question

If point A lies on the line of reflection, where does the reflected image point A' lie?

a.) point A' lies above the line of reflection
b.) point A' lies below the line of reflection
c.) point A'lies on the line of reflection but not on point A
d.) point A' is the same as point A

Answer 1

Based on the statement of your question that A lies on the line of reflection of it means the reflected A is also in the line of reflection, in that reason alone i conclude that C. point A' lies on the line of reflection but not on point A its because A' is also reflected from A.

Answer 2

Answer:  the correct option is

(D) point A' is the same as point A.

Step-by-step explanation:  Given that a point A lies on the line of reflection.

We are to find the position where the reflected image point A' lie.

Let X axis be the line of reflection and (a, 0) is a point on the line X axis.

We are to check where the image of (a, 0) will lie.

We know that

any point (x, y), if reflected across X axis, its image will have co-ordinates (x, -y).

So, the image of the point (a, 0) will be (a, 0).

Therefore, the image of the point on the line of reflection is the point itself.

Thus, the point A' is the same as point A.

The line of reflection (X-axis), the point (3, 0) and its reflected point (3, 0) are shown in the attached figure below.

Option (D) is CORRECT.