Answer:
The coordinates of Point S' are:
(2,-1)
Step-by-step explanation:
We know that the rule of rotating a image by 180 degree leads to the change in coordinates of the image as:
(x,y) → (-x,-y)
Now we are given an pre-image of a triangle whose S coordinate on transformation that is by rotating the triangle by 180 degree changes to S'
Now the coordinates of S in the pre-image is:
S(x,y)=(-2,1)
Since the point S is in the second quadrant so the x-value of the point is negative and the y-value is positive.
Now, the coordinates of S' by the rule of transformation is:
(-2,1) → (-(-2),-1)=(2,-1)
Hence, the coordinates of S' are:
(2,-1)
