Question

A point at (−1, 10) is rotated 90°counterclockwise about the origin. What are the coordinates of the resulting image?

Answer 1

Answer:

The resulting image of given point is (-10,-1)

B is correct.

Step-by-step explanation:

A point at (−1, 10) is rotated 90°counterclockwise about the origin.

Rotation about origin counterclockwise. (Using the rule)

$R_{90^\circ}(x,y)\rightarrow (-y,x)$

The x coordinate of image point is negative of y value of given point.

The y-coordinate of image point is x coordinate of given point.

$(-1,10)\rightarrow (-10,-1)$

-1 changes to -10

10 changes to -1

Hence, The resulting image of given point is (-10,-1)

Answer 2

The answer should be B