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The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
To find the image of the point (1, -6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation transformation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y). Therefore, the image of the point (1, -6) is (-1, 6).
The coords are (6, 1).
It is (6, 1).
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
It is (-1, 6).
(-1, -4) rotated 90 degrees anticlockwise
To find the image of the point (1, -6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation transformation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y). Therefore, the image of the point (1, -6) is (-1, 6).
That depends upon the centre of rotation - it can be any point at all in the plane; eg: If the centre is (-1, -2), then after the rotation (-1, -2) → (-1, -2) If the centre is (-0, 0), then after the rotation: (-1, -2) → (2, -1) If the centre is (1, 2), then after the rotation: (-1, -2) → (5, 0) etc.
The coords are (6, 1).
It is (6, 1).
It is (-6, -1).
It is 1/4 of a turn
90 degrees is a 1/4 of a full rotation of 360 degrees