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).
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 (4, 3) after a 90-degree rotation counterclockwise about the origin, you can use the transformation formula for rotation. The new coordinates will be (-y, x), which means the image of the point (4, 3) will be (-3, 4).
To find the image of point A after a 270-degree counterclockwise rotation about point C, first visualize or plot points A and C. Then, apply the rotation, which is equivalent to a 90-degree clockwise rotation. This means you would rotate point A around point C by 90 degrees in the clockwise direction to get the new position of A. The coordinates of the image can be calculated using rotation formulas or by using geometric tools based on their relative positions.
To find the image of the point (2, 3) after a 270º rotation counterclockwise around the origin, you can use the rotation formula. The new coordinates can be calculated as (y, -x). Therefore, the image of the point (2, 3) will be (3, -2).
A counterclockwise rotation of 220 degrees can be converted to a clockwise rotation by subtracting it from 360 degrees. Thus, 360 - 220 = 140 degrees. Therefore, a clockwise rotation of 140 degrees produces the same image as a counterclockwise rotation of 220 degrees.
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 (-6, -1).
To find the image of the point (4, 3) after a 90-degree rotation counterclockwise about the origin, you can use the transformation formula for rotation. The new coordinates will be (-y, x), which means the image of the point (4, 3) will be (-3, 4).
It is (-1, 6).
A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise. When rotating 180° about the origin, the x-coordinate and y-coordinates change sign Thus (1, -6) → (-1, 6) after rotating 180° around the origin.
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
To find the image of point A after a 270-degree counterclockwise rotation about point C, first visualize or plot points A and C. Then, apply the rotation, which is equivalent to a 90-degree clockwise rotation. This means you would rotate point A around point C by 90 degrees in the clockwise direction to get the new position of A. The coordinates of the image can be calculated using rotation formulas or by using geometric tools based on their relative positions.
(-1, -4) rotated 90 degrees anticlockwise
To find the image of the point (2, 3) after a 270º rotation counterclockwise around the origin, you can use the rotation formula. The new coordinates can be calculated as (y, -x). Therefore, the image of the point (2, 3) will be (3, -2).
A counterclockwise rotation of 220 degrees can be converted to a clockwise rotation by subtracting it from 360 degrees. Thus, 360 - 220 = 140 degrees. Therefore, a clockwise rotation of 140 degrees produces the same image as a counterclockwise rotation of 220 degrees.
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer will depend on whether the rotation is clockwise or counterclockwise.