Given :
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'.
To Find :
What are the coordinates of X'Y'Z .
Solution :
Let , the points are [tex]X(x_1,y_1)\ ,Y(x_2,y_2) \ , Z(x_3,y_3)[/tex].
When any point ( h , k ) is rotated 90° counterclockwise about the origin the new point produced is ( -k , h).
So , applying same concept in XYZ :
[tex]X'(-y_1,x_1)\ ,Y'(-y_2,x_2) \ , Z'(-y_3,x_3)[/tex] .
Therefore , transformed points are [tex]X'(-y_1,x_1)\ ,Y'(-y_2,x_2) \ , Z'(-y_3,x_3)[/tex] .
Hence , this is the required solution .
