Question

Name the coordinates of point E after it is reflected over the x -axis. The initial directions are with the pic below.

Answer 1

When we reflect a point P(x,y) over the x-axis, its coordinates are transformed as:

`P(x,y)\rightarrow P^(\prime)(x,-y)`

Thus, the x-coordinate remains the same, while the y-coordinate is the opposite of the original one.

In this problem, we need to determine the coordinates of point E after it is reflected over the x -axis.

Since the coordinates of E are (1,4), after the reflection they are transformed as:

`E(1,4)\rightarrow E^(\prime)(1,-4)`

Therefore, after that reflection, we obtain the point:

`E^(\prime)(1,-4)`