Question

Which statement accurately describes how to performa 90 counterclockwise rotation of point A (-1, -2) around the origin

Answer 1

need to know the options

Explanation:

Answer 2

Create a circle with the origin as its center and a radius of the origin and point A then locate a point on the circle that is 90° counterclockwise from point A.

The coordinates of image after 90° counterclockwise rotation are A'(2,-1).

Explanation:

Geometrically:

To perform a 90 degree clockwise rotation of a point A(-1,-2) around the origin, we need to follow some steps which as shown below:

1. Place and compass on the origin and draw a circle which is passes through the point A

(-1,-2).

2. Make a point on the circle that is 90° counterclockwise from point A.

Algebraically:

If a point rotated 90° counterclockwise around the origin, then

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

The given point is A(-1,-2)

`A(-1,-2)\rightarrow A'(2,-1)`

Therefore, the coordinates of image after 90° counterclockwise rotation are A'(2,-1).