Rotation and reflection are instances of transformation
See attachment for the new position of [tex]\triangle ABC[/tex]
From the question, we have:
[tex]A = (-1,1)[/tex]
[tex]C = (-2,4)[/tex]
The rule of 90 degrees clockwise rotation is:
[tex](x,y) \to (y,-x)[/tex]
Using the above transformation, the new points would be
[tex]A' = (1,1)[/tex]
[tex]B' =(3,3)[/tex]
[tex]C' = (4,2)[/tex]
The next transformation is reflection over the x-axis
The rule of this transformation is:
[tex](x,y) \to (x,-y)[/tex]
So, the new points would be:
[tex]A" = (1,-1)[/tex]
[tex]B" = (3,-3)[/tex]
[tex]C" = (4,-2)[/tex]
See attachment for the new points
Read more about transformation at:
https://brainly.com/question/11709244
