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!!!! : )
Answer:
[tex](x,y)\Rightarrow (-x,-y)[/tex]
Step-by-step 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 [tex](x,y)[/tex] after a rotation of 180 degrees about origin changes to [tex](-x,-y)[/tex].
The rule for this rotation is: [tex](x,y)\Rightarrow (-x,-y)[/tex]
Therefore, our required expression would be [tex](x,y)\Rightarrow (-x,-y)[/tex].
