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(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)

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What is the rule for 270 degree counter clockwise rotation?

The effect of the rotation is the same as that of a 90 degree clockwise rotation. In matrix notation, it is equivalent to [post-]multiplication by the 2x2 matrix: { 0 1 } {-1 0 }


What degree clockwise rotation goes from xy to -xy?

180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.


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.


Rule for 90 degree clockwise rotation?

we swap the co-ordinates and give the new y co-ordinate the opposite sign.90 degrees clockwise(y, -x)


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.


What is the image of point 4 3 if the rotation is -90?

To find the image of the point (4, 3) after a -90-degree rotation (which is equivalent to a 90-degree clockwise rotation), you can use the rotation formula: (x', y') = (y, -x). Applying this to the point (4, 3), the new coordinates become (3, -4). Therefore, the image of the point (4, 3) after a -90-degree rotation is (3, -4).


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.


What are the characteristics of rotation?

Rotation involves spinning or turning around an axis or center point. It can be clockwise or counterclockwise. The distance traveled by each point in the object is proportional to the distance from the center of rotation.


How do you find 270 degree clockwise rotation?

(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.


What is the rule for a 270 degree clockwise rotation?

(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.


How is a 90 degree rotation around a clock face not symmetrical?

the numbers


What is the formula for a 90 degree rotation?

A 90 degree rotation is a quarter of a turn.