Question

What is the image of (1, -6) for a 270° counterclockwise rotation about the origin?

(-1, -6)

(-1, 6)

(-6, -1)

(6, 1)

Answer 1

I think (-1,-6)
hope this help

Answer 2

The image of (1,-6) is (-6,-1)

C is correct

Explanation:

Given: (1,-6) rotate 270° counterclockwise rotation about the origin.

For 270° counterclockwise rotation about the origin.

`(x,y)\overset{270^\circ}{\rightarrow}(y,-x)`

`(1,-6)\overset{270^\circ}{\rightarrow}(-6,-1)`

(1,-6) lie in IV quadrant.

After 270° counterclockwise rotation about the origin

Point image form in III quadrant.

Hence, The image of (1,-6) is (-6,-1)