Answer:
The coordinates of A' are (6,6).
Step-by-step explanation:
It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).
If a point is rotated 90 ° clockwise about the point ( a,b ), then
[tex](x,y)\rightarrow ((y-b)+a,-(x-a)+b)[/tex]
It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.
[tex](x,y)\rightarrow ((y-1)+4,-(x-4)+1)[/tex]
[tex](x,y)\rightarrow (y+3,-x+5)[/tex]
The coordinates of A are (-1,3), So, the coordinates of A' are
[tex]A(-1,3)\rightarrow A'(3+3,-(-1)+5)[/tex]
[tex]A(-1,3)\rightarrow A'(6,6)[/tex]
Therefore the coordinates of A' are (6,6).
