Given:
Consider the three points are A(-1,1), B(1,-2) and C(0,-4).
These points rotated 270 degrees by the origin.
To find:
The coordinates of points after rotation.
Solution:
If a figure rotated 270 degrees by the origin, then
[tex](x,y)\to (y,-x)[/tex]
Using this rule of transformation, we get
[tex]A(-1,1)\to A'(1,1)[/tex]
[tex]B(1,-2)\to B'(-2,-1)[/tex]
[tex]C(0,-4)\to C'(-4,0)[/tex]
Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).