The point C(x, y) is reflected over the x-axis. Write a translation rule to describe the original point and its reflection.
The translation rule for the reflection of point C(x, y) over the x-axis is:
Original Point: C(x, y)
Reflection: C'(x, -y)
This means that the x-coordinate remains the same, but the y-coordinate is flipped or reflected over the x-axis resulting in the y-coordinate becoming negative.
To describe the translation rule for reflecting a point C(x, y) over the x-axis, follow these steps:
1. Keep the y-coordinate the same.
2. Change the sign of the x-coordinate.
The translation rule can be written as:
(x, y) → (x, -y)
For example, if the original point is C(3, 4), the reflection over the x-axis will be C(3, -4).
To write a translation rule that describes the original point and its reflection over the x-axis, we need to understand how the x and y coordinates change during this reflection.
When a point is reflected over the x-axis, the x-coordinate remains the same, but the y-coordinate changes its sign. If the original point is C(x, y), its reflected point can be written as C'(x, -y).
So, the translation rule for the reflection over the x-axis can be written as:
(x, y) → (x, -y)
This means that to reflect a point over the x-axis, you keep the x-coordinate the same, but change the sign of the y-coordinate.