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100 POINTS PLEASE HELP

What are the coordinates of the image of the point (−2, 6) after a clockwise rotation of 90° about the origin?

(−6, −2)

(6, 2)

(2, −6)

Respuesta :

The rule is

  • (x,y)=(y,-x)

So

Our coordinate is (-2,6)

Rotated point

  • (6,-(-2))
  • (6,2)

Option B

semsee45

Answer:

(6, 2)

Step-by-step explanation:

Rotation rules about the origin:

  • 90° clockwise (or 270° counterclockwise):  (x, y) → (y, -x)
  • 180° clockwise (or 180° counterclockwise):  (x, y) → (-x, -y)
  • 270° clockwise (or 90° counterclockwise):  (x, y) → (-y, x)

Therefore, to rotate (-2, 6) clockwise 90° about the origin:

⇒ (-2, 6) → (6, -(-2)) → (6, 2)

Ver imagen semsee45