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:

$E^{\prime}(1,-4)$