Answer with explanation:
Coordinates of vertices of A, B and C are =(1,1),(2,3), and ,(2,1).
→When Triangle ABC , is reflected across X- axis
Coordinates of Vertex A, B and C after reflection=(1,-1), (2,-3) and (2,-1).
→Now, the triangle ABC, is rotated by 90 degrees in clockwise Direction
When a point , (h,k) is rotated by 90 degree, the coordinates of image will be , (k, -h).
So, Coordinates of Vertex A, B and C after rotated by 90 degrees in clockwise Direction=A"(-1,-1), B"(-3,-2), C"(-1,-2).
→When , A"(-1,-1), B"(-2,-3), C"(-1,-2) is reflected across the line, y=c :
These Points lies in third Quadrant.So, after reflection through line, y=c,triangle will go in the second Quadrant.So, the coordinates of vertices of ΔABC will be
A'(-1,1)
B'(-2,3)
C'(-1,2)