Question

What do you notice? Look at the coordinates for reflections over the x-axis. Complete the sentence below. When I look at the coordinates of the reflections over the x-axis, I notice that... General Rule:

Answer 1

When a reflection over the x-axis is made:

• The x-coordinate of the reflected point stays the same

,

• The y-coordinate of the reflected point changes sign.

So what we look when we see the coordinates of the reflections over the x-axis is that the points are in the same place in x, but in the opposite place is y.

The general rule can be writen as follows:

`(x,y)\longrightarrow(x,-y)`

x is the same after the reflection, but y changes of sign.