What is the location of the image of P(-8, 1) after a counterclockwise rotation of 90° about the origin?
O (1, -8)
O (-8,-1)
O (-1,8)
O (8, -1)

Respuesta :

Answer:

  (-1, -8)

Step-by-step explanation:

You want the image of P(-8, 1) after rotation 90° counterclockwise about the origin.

Rotation

The transformation for 90° CCW is ...

  (x, y) ⇒ (-y, x)

Then

  P(-8, 1) ⇒ P'(-1, -8)

__

Additional comment

We observe that this answer is not among the choices listed in this problem statement. We suspect a typo somewhere. The transformations represented by the given choices are ...

  A: reflection across the x-axis and rotation 90° CCW

  B: reflection across the x-axis

  C: reflection across the x-axis and rotation 90° CW

  D: reflection across the origin

These are shown in the second attachment.

Ver imagen sqdancefan
Ver imagen sqdancefan