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What is the image of point (3 5) if the rotation is -90 degrees?
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).
A preimage and image are congruent in a rotation always sometimes or never?
Sometimes
What is the image of point 3 5 if the rotation is -270 degrees?
(-5,3)
What is the image of point (4 3) if the rotation is -180 degrees?
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).
What is the image of (1 -6) for a 270 counterclockwise rotation about the origin?
It is (-6, -1).
What is the image of (1 -6) for a 180 degree counterclockwise rotation about the origin?
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).
What is the image of 1 -6 for a 270 counterclockwise rotation about the origin?
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).
What is the image of point 4 3 if the rotation is -90?
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).
What is the image of point 3 5 if rotation is -270?
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).
What is image of point 4 3 if rotation is 90?
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).
What is the image of A for a 270 degree counterclockwise rotation about c?
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.
What is the image of (5 4) when it is rotated 180 degrees about the origin?
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).
What are the coordinates of the image of a b?
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.
What is the image of point (2 3) if the rotation is 270º?
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).
What is the image of point (3 5) if the rotation is -90º?
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).
What is the image of 1 -6 after a 180 degree counterclockwise rotation about the origin?
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.
What is the smallest of degrees you need to rotate the image for it to look the same?
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.
