Triangle rst has vertices r(2, 0), s(4, 0), and t(1, –3). the image of triangle rst after a rotation has vertices
r'(0, –2), s'(0, –4), and t'(–3, –1). which rule describes the transformation?

a) ro 90 degree
b) ro 180 degree
c) ro 270 degree

(ro means rotation just fyi)

The rule which describes the transformation is:

                           C)  R 0,270 degree

We know that if the original figure is rotated 270 degrees about the origin then it leads to the transformation in which each of the vertices of the figure are transformed and are  given by the rule:

             (x,y) → (y,-x)

Here we have the vertices of the Triangle RST as:

          R(2, 0), S(4, 0), and T(1, –3).

Now, when this triangle is rotated 270 degrees about the origin then the resulting image has vertices as follows:

R(2,0) → R'(0,-2)

S(4,0) → S'(0,-4)

T(1,-3) → T(-3,-1)