When a line or shape or point is rotated, it must be rotated around a point.
The image of the point is D. (3,4)
The point is given as:
[tex]\mathbf{(x,y) = (-3,-4)}[/tex]
A 180-degree rotation across the origin is represented as:
[tex]\mathbf{(x,y) \to (-x,-y)}[/tex]
Substitute values for the coordinates of the point (x,y)
[tex]\mathbf{(-3,-4) \to (-(-3),-(-4))}[/tex]
Simplify
[tex]\mathbf{(-3,-4) \to (3,4)}[/tex]
Hence, the image of the point is D. (3,4)
Read more about rotations at:
https://brainly.com/question/15356082
