No, only their positions will change.
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.
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).
To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.
To rotate a point (x, y) 90 degrees clockwise around the origin on a graph, you transform the coordinates using the formula (x', y') = (y, -x). This means that the new x-coordinate becomes the original y-coordinate, and the new y-coordinate becomes the negative of the original x-coordinate. For example, the point (2, 3) would rotate to (3, -2).
Move it 3 times* * * * *or once in the anti-clockwise direction.
You dont, its just 90 degrees 3 times..
No, only their positions will change.
rotate it 90 degrees
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.
I dont really know if this is right but i think to do this problem you have to take a point then rotate the paper counter clockwise around the origin then you have a new point which is called a prime. Then reflect it over the y axis on the graph.
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).
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.
To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.
To rotate a point (x, y) 90 degrees clockwise around the origin on a graph, you transform the coordinates using the formula (x', y') = (y, -x). This means that the new x-coordinate becomes the original y-coordinate, and the new y-coordinate becomes the negative of the original x-coordinate. For example, the point (2, 3) would rotate to (3, -2).
To rotate a point (x, y) 90 degrees clockwise around the origin, you transform the coordinates using the rule: (x, y) → (y, -x). This means the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate. For example, the point (2, 3) would rotate to (3, -2).
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.