Question

What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?

a) (−4, −5)

b) (−5, 4)

c) (5, 4)

d) (5, −4)

Answer 1

Since the rotation is 270 degrees counterclockwise, the point will end up in quadrant 4.
The ordered pairs in quadrant 4 are (+, -).
The only answer that matches is LETTER D.

Answer 2

Answer: The correct option is (d) (5, -4).

Step-by-step explanation: We are given to select the image of point (4, 5) after a counterclockwise rotation of 270º about the origin.

We know that,

Under a counterclockwise rotation of 270º about the origin, the co-ordinates of a point (x, y) changes to (y, -x).

Therefore, the image of the point (4, 5) after a counterclockwise rotation of 270º about the origin will be

(4, 5) ⇒ (5, -4).

Thus, the required image of the point (4, 5) is (5, -4).

Option (d) is correct.