Question

What is the image of (1, −6) for a 90° counterclockwise rotation about the origin?

Answer 1

(-1,-6)

If your image is in the fourth quadrant of the graph and it is moves 90 degrees counterclockwise it will end up in the third quadrant.

Answer 2

After rotation New coordinates of the point is ( 6 , 1 ).

Explanation:

Given point is ( 1 , -6 ) which lies in IV quadrant.

we have to rotate it by 90° counterclockwise.

we use a result which states that when a point with coordinate ( x , y ) is rotated 90° counterclockwise then the new coordinates of the point i given by ( -y , x ).

Therefore, After rotation New coordinates of the point is ( 6 , 1 ).