Rotating it about the origin 180° (either way, it's half a turn) will transform a point with coordinates (x, y) to that with coordinates (-x, -y)
Thus (2, 5) → (-2, -5)
The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].
You have to switch the x and y coordinates and multiply your new x coordinate by -1. You can also dram the point and rotate your paper physically by 90 degrees. Example: Your Coordinates: (3,8) New Coordinates: (-8,3) (3,8) ---> (8,3) ---> (-8,3) Another Ex: (-7,-1) --> (-1,-7) --> (1,-7)
(-1, -4) rotated 90 degrees anticlockwise
If you know how to rotate a triangle around the origin, treat the point as the origin.If you have Cartesian coordinates (that is x, y pairs) for the points of the triangle,subtract the coordinates of the centre of rotation from the coordinates of the triangle, do the rotation and then add them back on.Doing it geometrically:Draw line from centre of rotation to a point (for example a vertex)Measure the required angle from this line and draw in the rotated lineMeasure the distance from the centre of rotation to the original point and measure along the rotated line the required distance to get the rotated point.repeat for as many points as needed (eg the 3 vertices of the triangle) and join together the rotated points in the same was as the original points.[The construction lines drawn to the centre of rotation can be erased once the rotated point is found.]
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
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.
The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
The answer depends on whether the rotation is clockwise or anti-clockwise.For anti-clockwise rotation (the standard direction of rotation),old x-coordinate becomes new y-coordinate,old y-coordinate becomes minus new x-coordinate
Visualize a capital "N." Rotated 90 degrees counter-clockwise (a quarter turn to the left) it would look like a capital "Z."
Take any one point on the figure. Draw a line from it to the origin. At the origin measure an angle of 90 degrees (right angle) in a clockwise direction. Draw a line from the origin at this new angle and of the same length as the original angle. Repeat this process for the other points in the figure. NB Be careful, there will be numerous lines from the origin. At the end points of the new lines, connect up to reveal the origin figure ,but rotated 90 degrees - clockwise.
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The line segments will have been rotated by 180 degrees.
180 degrees.
You have to switch the x and y coordinates and multiply your new x coordinate by -1. You can also dram the point and rotate your paper physically by 90 degrees. Example: Your Coordinates: (3,8) New Coordinates: (-8,3) (3,8) ---> (8,3) ---> (-8,3) Another Ex: (-7,-1) --> (-1,-7) --> (1,-7)
The coords are (6, 1).
You dont, its just 90 degrees 3 times..