Point A has coordinates (x,y).
Point B (Point A rotated 270°) has coordinates (y,-x).
Point C (horizontal image of Point B) has coordinates (-y,-x).
Conventionally positive angles are measured anticlockwise. It depends where the centre of rotation is, so where would you like the image to be? If the centre is at, say, (3, 5) then the image will be at (3, 5) regardless of the angle of rotation. If the centre is at, say, (3, 3) then the image will be at (5, 3) If the centre is at, say, the origin, ie (0, 0) then the image will be at (5, -3).
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(-5,3)
Conventionally positive angles are measured anticlockwise, by 180° is a half turn regardless of direction. It depends where the centre of rotation is, so where would you like the image to be? If the centre is at, say, (4, 3) then the image will be at (4, 3) regardless of the angle of rotation. If the centre is at, say, (4, 4) then the image will be at (4, 5) If the centre is at, say, the origin, ie (0, 0) then the image will be at (-4, -3).
It 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).
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 (which is equivalent to a 90-degree clockwise rotation), you can use the rotation formula: (x', y') = (y, -x). Applying this to the point (4, 3), the new coordinates become (3, -4). Therefore, the image of the point (4, 3) after a -90-degree rotation is (3, -4).
To find the image of the point (3, 5) after a rotation of -270 degrees (which is equivalent to a 90-degree rotation clockwise), you can use the rotation formula. The new coordinates will be (y, -x), resulting in the point (5, -3). Thus, the image of the point (3, 5) after a -270-degree rotation is (5, -3).
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 the point (5, 4) when rotated 180 degrees about the origin, you can apply the transformation that changes the signs of both coordinates. Thus, the new coordinates will be (-5, -4). Therefore, the image of the point (5, 4) after a 180-degree rotation about the origin is (-5, -4).
To determine the coordinates of the image of point A (x₁, y₁) under a specific transformation, you need to apply the transformation rules provided (such as translation, rotation, or scaling). The coordinates of the image will depend on the type of transformation applied. If you have specific transformation details, please share them for a precise answer.
To find the image of the point (3, 5) after a rotation of -90º (which is equivalent to a clockwise rotation of 90º), you can use the rotation formula. The new coordinates will be (y, -x), which transforms the point (3, 5) into (5, -3). So, the image of the point (3, 5) after a -90º rotation is (5, -3).
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 smallest degree of rotation needed for an image to look the same is 360 degrees, which is a full rotation. This is because rotating an image by any multiple of 360 degrees will result in the image returning to its original orientation. Therefore, the smallest degree of rotation needed for the image to appear unchanged is a full rotation of 360 degrees.
If we rotate the video 360° in either direction, you should obtain the same image.
To find the image of point C after a 180-degree counterclockwise rotation about point P, you first identify the coordinates of both points. Then, you reflect point C across point P, effectively moving it to the opposite side of P at an equal distance. The resulting image will be directly opposite C in relation to P, forming a straight line through P.