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Which algebraic rule describes the 180° counter-clockwise rotation about the origin?

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The algebraic rule describes the 180° counter-clockwise rotation about the origin =======> Answer: Rule for 180 degrees Counter-Clockwise Rotation =======> ( X , Y ) =========> ( - X, - Y ) ====> Make X + Y Signs Opposite.



Rotations Counter-Clockwise:

Rotation of 90 degrees ========> Switch X + Y, Make Y Opposite.

Rotation of 270 degrees ======> ( X, Y ) ===> ( Y, - X ) ==> Switch X + Y, Make X Opposite.




Hope that helps!!!! : )

User Wan
by
8.7k points
6 votes

Answer:


(x,y)\Rightarrow (-x,-y)

Explanation:

We are asked to write the algebraic rule that describes the 180° counter-clockwise rotation about the origin.

When we rotate a point 180 degrees about origin the coordinates of point changes their sign.

The point
(x,y) after a rotation of 180 degrees about origin changes to
(-x,-y).

The rule for this rotation is:
(x,y)\Rightarrow (-x,-y)

Therefore, our required expression would be
(x,y)\Rightarrow (-x,-y).

User Qina Yan
by
8.5k points

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