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PLEASE HELP ASAP!!!! DUE TODAY WILL GIVE BRAINLIEST

If JKL is rotated 180° clockwise about the origin, what are the new coordinates of point J?
A (6,4)
B. (4, -6)
C.(6, -4)
D.(-4,-6)​

PLEASE HELP ASAP DUE TODAY WILL GIVE BRAINLIESTIf JKL is rotated 180 clockwise about the origin what are the new coordinates of point J A 64 B 4 6 C6 4 D46 class=

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Answer:

we conclude that if JKL is rotated 180° clockwise about the origin, what are the new coordinates of point J(-4, 6) will be: J' (4, -6)

Hence, the answer choice (B) is correct.

Step-by-step explanation:

The rule of rotating a point 180° clockwise about the origin states that if we rotate a point P(x, y) 180° clockwise about the origin, it would take a new position with the coordinates P'(-x, y).

In other words, the sign of its x and y coordinates change.

Thus, the rule is:

P(x, y) → P'(-x, -y)

Given the triangle ΔJKL with the coordinates

  • J(-4, 6)
  • K(-1, 2)
  • J(-4, 2)

Thus, according to the rule:

  • P(x, y) → P'(-x, -y)

The new position of point J (-4, 6) will be J' (4, -6)

The new position of point K (-1, 2) will be K' (1, -2)

The new position of point L (-4, 2) will be L'  (4, -2)

Finally, we conclude that if JKL is rotated 180° clockwise about the origin, what are the new coordinates of point J(-4, 6) will be: J' (4, -6)

Hence, the answer choice (B) is correct.