Question

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
(3, 2)

(−3, −2)

(−2, 3)

(−3, 2)

Answer 1

Answer:

(2,-3) changes to (3,2)

A is correct.

Step-by-step explanation:

Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin.

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

Rotation is counterclockwise about origin.  

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

We are given coordinate

$(2,-3)\rightarrow (3,2)$

We can see in diagram also. Please see the attachment for rotation.

Hence, (2,-3) changes to (3,2)

Answer 2

Answer:

Point would be (3,2).

Step-by-step explanation:

Given: point (2, −3) after a counterclockwise rotation of 90° about the origin.

To find: What are the coordinates after rotation.

Solution: We have given that  point (2, −3).

By transformation rotation 90° (x,y)→→→(-y,x).

Then  point (2, −3)  would be (-(-3),2) .

Then (3 ,2)

Therefore, Point would be (3,2).