Question

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

Answer 1

Answer:

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

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

Answer 2

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!!!! : )