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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)

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How do you rotate a shape 315 degrees clockwise about the origin?

The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].


How do you rotate a figure 90 degrees counter clockwise about the origin?

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)


What is the image of 1 -6 for a 90 counterclockwise rotation about the origin?

(-1, -4) rotated 90 degrees anticlockwise


How do you rotate a triangle around a point that is not origin?

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.]


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).

Related Questions

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.


How do you rotate a shape 315 degrees clockwise about the origin?

The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].


If triangle DEF is rotated 180 degrees clockwise around the origin what will be the coordinates of point E in the image D (-13) E (31) and F (2-2)?

add the


How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?

That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.


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.


What happens to the x- and y- coordinates when an object is rotated 90 degrees about the origin?

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


How do you rotate a figure 180 degrees about origin?

Visualize a capital "N." Rotated 90 degrees counter-clockwise (a quarter turn to the left) it would look like a capital "Z."


Point Q was rotated about origin (0,0) by 180 degrees?

.


What is true about corresponding line segments of an object that has been rotated 180 degrees about the origin?

The line segments will have been rotated by 180 degrees.


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 many degrees has triangle ABC been rotated counterclockwise about the origin?

180 degrees.


How do you rotate a figure 90 degrees counter clockwise about the origin?

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)