Question

Point P(−3, −4) is rotated 90° counterclockwise about the origin. What are the coordinates of its image after this transformation? Enter your answer in the boxes.

Answer 1

Answer: The co-ordinates of the point P after transformation are (4, -3).

Step-by-step explanation:  Given that a point P(-4, -3) is rotated Point P(−3, −4) is rotated 90° counterclockwise about the origin.

We are given to find the co-ordinates of its image after the transformation.

We know that,

If a point (x, y) is rotated 90° counterclockwise about the origin, then its co-ordinates after the transformation becomes

(x, y)  ⇒  (-y, x).

Therefore, if P changes to P' after the transformation, then co-ordinates of the point P' will be

P(-3, -4)  ⇒  P'(4, -3).

Thus, the co-ordinates of the point P after transformation are (4, -3).

Answer 2

The 90° CCW transformation is

... (x, y) ⇒ (-y, x)

For your point, this is ...

... (-3, -4) ⇒ (-(-4), -3) = (4, -3)

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What boxes?