Answer: B) 90° counterclockwise, translation 3 units to the left.
Step-by-step explanation: Given coordinates of figure ABCD are:
A (1,5).
B (1,9)
C ( 5,9)
D (5,5)
Coordinates of transformed image A'B'C'D' are :
A' (-8,1)
B' (-12,1)
C' (-12,5)
D' (-8,5).
We need to explain rule of transformation:
Let us compare coordinates of A and A'.
A (1,5) ---> A' (-8,1)
We can see that (x,y) ----> (y,-x) -----> (y,-x-3) rule is being applied there.
So, according to (x,y) ----> (y,-x) rule, it's Rotation of 90 degrees counterclockwise.
And (y,-x) -----> (y,-x-3) is translation 3 units to the left.
Therefore,
Correct option is B) 90° counterclockwise, translation 3 units to the left.
