Question

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

Answer 1

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

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

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).

Answer 2

Answer:

need to know the options

Step-by-step explanation: