Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
[tex]R (1, 1),\\S (3, 1)\ and\\T (1, 6)[/tex]
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
[tex]R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)[/tex]
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is [tex]90^\circ[/tex] and
The rotation of angle from 2nd quadrant to 3rd quadrant is [tex]90^\circ[/tex].
[tex]\therefore[/tex] total rotation is [tex]180^\circ[/tex].
