Answer:
Option B.
Explanation:
We take a point D from the figure attached,
Coordinates for the point D → (-1.5, 3.5)
And coordinates of D' → (3.5, 1.5)
Coordinates of D when rotated about the origin,
Option A. Rotated by 270° clockwise.
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
Therefore, Option A. is incorrect
Option B. rotation by 90° clockwise
Rule to be followed
D(x, y) → D'(y, -x)
D(-1.5, 3.5) → D'(3.5, 1.5)
Therefore, Option B. is correct.
Option C. 90° counterclockwise
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
This option C is incorrect.
Option D. 180° counterclockwise
Rule to be followed,
D(x, y) → D'(-x, -y)
D(-1.5, 3.5) → D'(1.5, -3.5)
Therefore, option D is incorrect.