Question

The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co

of the resulting point, B'?
B' = (
1
)​

Answer 1

Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.

We need to determine the coordinates of the resulting point B'.

Coordinates of the point B':

The general rule to rotate the point 90° counterclockwise around the origin is given by

`(x, y) \rightarrow(-y, x)`

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.

Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.

Thus, we have;

Coordinates of B' =
`(1,1) \rightarrow(-1,1)`

Thus, the coordinates of the resulting point B' is (-1,1)