The grid shows figure q and its image figure q’ after a transformation. which transformation was applied on figure q?

a.) counterclockwise rotation of 180° about the origin.

b.) clockwise rotation of 90° about the origin.

c.) clockwise rotation of 270° about the origin.

d.) counterclockwise rotation of 90° about the origin.

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.

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step-by-step explanation: