Question

find the location of A' given that A is (6,7). reflect across the x-axis . the location of A' is ( , )

Answer 1

We have the point A(6,7), and we need to find the point A' which is the reflection of point A across the x-axis.

the point A is represented in the following image:

And the reflection across the x-axis is like if we reflected the point in a mirror:

As we can see the point A' has the coordinates:

`A^(\prime)(6,-7)`

As a general rule, when we make a reflection of a point

`(x,y)`

the reflection across the x-axis gives the point:

`(x,-y)`

We change the sign of the y-coordinate.

Like in this case (6,7) became (6,-7).

Answer: (6,-7)