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).
Sometimes
(-5,3)
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).
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 (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 (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).
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.
(-4,-3) anything with a 180 degree rotation regardless of being postive or negative is always negative the numbers in parenthesis.
The coordinates of the image are typically related to the coordinates of the preimage through a specific transformation, which can include translations, rotations, reflections, or dilations. For example, if a transformation is defined by a function or a matrix, the coordinates of the image can be calculated by applying that function or matrix to the coordinates of the preimage. Thus, the relationship depends on the nature of the transformation applied.
What is the image of point (3, 5) if the rotation is
To determine the coordinates of the image produced by a composition of transformations, you'll need to apply each transformation step-by-step to the original coordinates. Start with the first transformation, apply it to the coordinates, and then take the resulting coordinates and apply the next transformation. The final coordinates after all transformations will give you the image's location. If specific transformations and original coordinates are provided, I can give a more precise answer.
The image and pre-image are congruent.
The answer will depend on where the centre of rotation is. Since that it not specified, the image could by anywhere.