What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?

Option 'b' is correct.

Step-by-step explanation:

Since we have given that

(1,-6) is the given coordinate.

As we have to rotate 180° counterclockwise.

Then, it will go to the second quadrant.

And we know that in II nd quadrant, x- axis is in the negative side and y-axis is in the positive side.

So, The image of (1,-6) becomes (-1,6)

Hence, Option 'b' is correct.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)