Answer:
B.) Clockwise rotation of 90° about the origin.
Step-by-step explanation:
We see that the co-ordinates of the figure Q are (2,4), (3,7), (7,5), (5,4) and (4,2).
It can be seen that the co-ordinates changed after the transformation are (4,-2), (7,-3), (5,-7), (4,-5) and (2,-4).
That is,
Q Q'
(2,4) ---------------------> (4,-2)
(3,7) ----------------------> (7,-3)
(7,5) ----------------------> (5,-7)
(5,4) ----------------------> (4,-5)
(4,2) ----------------------> (2,-4)
Thus, the co-ordinates are changing by the rule (x,y) → (y,-x).
Hence, the transformation applied is 'Clockwise rotation of 90° about the origin'.
So, option B is correct.
