Answer:
C
Step-by-step explanation:
Rotation 90 degrees counter clockwise rule (x,y) -----> ( -y , x )
In order to find the answer we must first find the coordinates of the pre image
The coordinates are...
x (1,-1)
y (4,-1)
z (4,-4)
Now we apply the rule stated previously
( The rule explanation: the x and y values swap and the y values sign changes. So if the y value was previously positive, after a 90° counter clockwise rotation, the y value will then be negative)
x (1,-1) -----> swap x and y values ( -1,1) ------> flip sign of new x value ( 1 , 1 )
y (4,-1) ------> swap x and y values ( -1,4) -----> flip sign of new x value ( 1 , 4 )
z (4,-4) -----> swap x and y values ( -4,4) ------> flip sign of new x value ( 4,4)
the new coordinates are X' (1,1) , Y' (1,4) , Z (4,4)
Hence the answer is C
