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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


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 }


Rule for 180 degree clockwise rotation?

change the sign, but DONT switch the coordinates (:


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) .