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Q: What is the mapping rule for a rotation of 270 degrees clockwise?
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What do you think the mapping rule is for a rotation of 270 degrees clockwise?

It is multiplication by the 2x2 matrix 0 1-1 0


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)


What rule represents a 270 clockwise rotation about the origin?

270 rule represent a 270 rotation to the left which is very easy


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 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 is the rule for a 180 degree counterclockwise rotation?

First of all, if the rotation is 180 degrees then there is no difference clockwise and anti-clockwise so the inclusion of clockwise in the question is redundant. In terms of the coordinate plane, the signs of all coordinates are switched: from + to - and from - to +. So (2, 3) becomes (-2, -3), (-2, 3) becomes (2, -3), (2, -3) becomes (-2, 3) and (-2, -3) becomes (2, 3).


Rule for 90 degrees counterclockwise rotation?

(x,y)-> (-y,x)


What is the symbolic rule for a 45 degree rotation clockwise around the origin?

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


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.


What transformation is represented by the rule (x y) (y -x)?

It is an anticlockwise rotation through 90 degrees.


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 image of the point (-2,7) after a rotation of 180 counterclockwise about the origin?

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .