Answer:
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).
Step-by-step 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
[tex](x,y)\rightarrow (-y,x)[/tex]
The given point is A(-1,-2)
[tex]A(-1,-2)\rightarrow A'(2,-1)[/tex]
Therefore, the coordinates of image after 90° counterclockwise rotation are A'(2,-1).
