To find the symmetric point of a given point relative to the origin, we follow these steps:
1. Understanding the concept of symmetry about the origin:
When we reflect a point (x, y) about the origin (0, 0), the coordinates of the reflected point become (-x, -y).
2. Given point coordinates:
The given point is (3, -3).
3. Apply the symmetry transformation:
- The x-coordinate of the symmetric point is the negative of the x-coordinate of the given point: [tex]\( -3 \)[/tex].
- The y-coordinate of the symmetric point is the negative of the y-coordinate of the given point: [tex]\( 3 \)[/tex].
4. Resulting symmetric point:
The symmetric point of (3, -3) about the origin is [tex]\((-3, 3)\)[/tex].
So, the symmetrical point of (3, -3) relative to the origin is (-3, 3).
