Question

If the x-axis is the reflecting line A is (-1,2) its reflection image is A=____

Answer 1

Reflection across the x-axis would make the y-coordinate negative.
So the reflected point would be A=(-1,-2)

Answer 2

Answer: The required co-ordinates of the image are A'(-1, -2).

Step-by-step explanation: We are given to find the image of the point A(-1, 2) if X-axis is the reflecting line.

We know that

if a point (x, y) is reflected across the X-axis, then its y co-ordinates changes sign.

That is, the co-ordinates changes according to the following rule :

(x, y) ⇒ (x, -y)

So, if we reflect the point A(-1, 2) across the X-axis, then its co-ordinate becomes :

A(-1, 2) ⇒ A'(-1, -2).

Thus, the required co-ordinates of the image are A'(-1, -2).