answersLogoWhite

0

Switch the coordinates and change the sign of the second one by multiplying it by negative 1.

Here are some examples and a more general way to understand the problem.

Consider the point (1,1), a 90 degree rotation clockwise about the origin would move it into the 4th quadrant.

The new point is (1,-1) , similarly (-4,2)-> (2,4), (-4,3)-> (3,4)

We take a point p= (x,y) the the result of rotation p 90 clockwise about the orgin is a new point p'=(x',y')= (-y, x). .

In the case of p=(1,0) the new point is p'= (0, -1)

One can use a matrix where the first row is cos(a), sin(a) and the second row is

-sin(a) cos(a) for any clockwise rotation of a degrees about the origin.

If we let a=90 degrees we have

[0 1] as the first row and [-1 0] as the second row. So the matrix is:

|0 1|

|-1 0|

Call that matrix M

So a point p= (x,y) can be multiplied by M as follows Mp=p' where p' is the rotated point.

If p=(-4,2) then Mp

is M(-4,2) which after matrix multiplication means x'=0*-4+1*2=2 and y'=-1*-4+0*2=4

So p'=(2,4)

Try it with (1,0)

x'=1*0+0*1=0

y'=-1*1+0*1=-1

so p'=(0,-1) and (1,0)->(0,-1)

How about the point on the y axis (0,1), it should go to the point (1,0)

0*1+1*1=1 and -1*0+0*1 gives you the pont (1,0) ( we don't see the negative sign because -0 is just 0)

User Avatar

Wiki User

14y ago

What else can I help you with?

Related Questions

How do you rotate a figure 270 degrees clockwise about origin?

You dont, its just 90 degrees 3 times..


How do you rotate a figure 270 degrees clockwise around the origin?

Move it 3 times* * * * *or once in the anti-clockwise direction.


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.


Will the sides of the triangle change if rotate a figure 90 degrees clockwise about origin?

No, only their positions will change.


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.


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 rotation 90degrees clockwise about the origin on a figure?

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.


How do you rotate a figure 180 degrees clockwise?

multiply the coordinates by -1.


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).


How do you rotate a triangle by 90 degrees clockwise?

rotate it 90 degrees


How do you rotate a figure 360 degrees clockwise on a graph?

360 degree rotation (clockwise or anticlockwise) leaves any figure in exactly the same position as it was at the start. So YOU DO NOTHING.


How do you rotate a figure 90 degrees counter clockwise then reflect over y axis?

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.