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To rotate a point or figure 90 degrees clockwise about the origin, you can use the transformation formula: for a point (x, y), the new coordinates after rotation will be (y, -x). Apply this transformation to each vertex of the figure. After calculating the new coordinates for all points, plot them to visualize the rotated figure.
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How do you rotate a figure 270 degrees counterclockwise about origin?
To rotate a figure 270 degrees counterclockwise about the origin, you can achieve this by rotating it 90 degrees clockwise, as 270 degrees counterclockwise is equivalent to 90 degrees clockwise. For each point (x, y) of the figure, the new coordinates after the rotation will be (y, -x). This transformation effectively shifts the figure to its new orientation while maintaining its shape and size.
What is a rotation of 270 Degrees clockwise?
A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. In a Cartesian coordinate system, this means that a point originally at (x, y) will move to (y, -x) after the rotation. Essentially, it shifts the point three-quarters of the way around the origin in the clockwise direction.
How do you rotate a figure around the point of origin?
To rotate a figure around the point of origin in a Cartesian coordinate system, you can use rotation formulas based on the angle of rotation (θ). For a counterclockwise rotation, the new coordinates (x', y') can be calculated using the formulas: x' = x * cos(θ) - y * sin(θ) and y' = x * sin(θ) + y * cos(θ). For a clockwise rotation, you can use the same formulas with a negative angle (-θ). Apply these calculations to each point of the figure to find its new position after the rotation.
How do you Rotate a figure 90 degrees clockwise to get 5 5 on a corridinate grid?
To rotate a figure 90 degrees clockwise around the origin on a coordinate grid, you can use the transformation rule: (x, y) becomes (y, -x). For the point (5, 5), applying this rule results in (5, -5). Therefore, after a 90-degree clockwise rotation, the new coordinates of the point are (5, -5).
What are the coordinates of the point (1 and ndash6) after a counter clockwise rotation of 90 and deg about the origin?
The coords are (6, 1).
Rule for 180 degree clockwise rotation?
To rotate a figure 180 degrees clockwise, you can achieve this by first reflecting the figure over the y-axis and then reflecting it over the x-axis. This double reflection effectively rotates the figure 180 degrees clockwise around the origin.
How do you rotate a figure 270 degrees counterclockwise about origin?
To rotate a figure 270 degrees counterclockwise about the origin, you can achieve this by rotating it 90 degrees clockwise, as 270 degrees counterclockwise is equivalent to 90 degrees clockwise. For each point (x, y) of the figure, the new coordinates after the rotation will be (y, -x). This transformation effectively shifts the figure to its new orientation while maintaining its shape and size.
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 rule represents a 270 clockwise rotation about the origin?
270 rule represent a 270 rotation to the left which is very easy
What is a rotation of 270 Degrees clockwise?
A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. In a Cartesian coordinate system, this means that a point originally at (x, y) will move to (y, -x) after the rotation. Essentially, it shifts the point three-quarters of the way around the origin in the clockwise direction.
How do you rotate a figure around the point of origin?
To rotate a figure around the point of origin in a Cartesian coordinate system, you can use rotation formulas based on the angle of rotation (θ). For a counterclockwise rotation, the new coordinates (x', y') can be calculated using the formulas: x' = x * cos(θ) - y * sin(θ) and y' = x * sin(θ) + y * cos(θ). For a clockwise rotation, you can use the same formulas with a negative angle (-θ). Apply these calculations to each point of the figure to find its new position after the rotation.
How do you rotate a figure 270 degrees clockwise around the origin?
Move it 3 times* * * * *or once in the anti-clockwise direction.
What is the image of (1 -6) for a 180 counterclockwise rotation about the origin?
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
How do you you rotate a figure 90 degrees clockwise about the origin?
To rotate a figure 90 degrees clockwise about the origin, simply swap the x and y coordinates of each point and then negate the new y-coordinate. This is equivalent to reflecting the figure over the line y = x and then over the y-axis.
How do you Rotate a figure 90 degrees clockwise to get 5 5 on a corridinate grid?
To rotate a figure 90 degrees clockwise around the origin on a coordinate grid, you can use the transformation rule: (x, y) becomes (y, -x). For the point (5, 5), applying this rule results in (5, -5). Therefore, after a 90-degree clockwise rotation, the new coordinates of the point are (5, -5).
What are the coordinates of the point (1 and ndash6) after a counter clockwise rotation of 90 and deg about the origin?
The coords are (6, 1).
How do you rotate a figure 180 degrees clockwise about origin?
To rotate a figure 180 degrees clockwise about the origin you need to take all of the coordinates of the figure and change the sign of the x-coordinates to the opposite sign(positive to negative or negative to positive). You then do the same with the y-coordinates and plot the resulting coordinates to get your rotated figure.
