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Step 4: Use symmetry to find another point.

Another point is [tex]$\square$[/tex]

A. (1, -5)
B. (3, -3)
C. (5, 3)


Sagot :

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).
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