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What is the image of the point (1,-4) after a rotation of 180° counterclockwise

about the origin?

User Kecso
by
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1 Answer

5 votes

Answer:

(-1, 4)

Explanation:

Rotation 180° negates both coordinates:

(x, y) ⇒ (-x, -y)

The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).

(1, -4) ⇒ (-1, 4) . . . . after rotation 180°

User Ivan Zyranau
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4.9k points