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

Point would be (3,2).

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).

Answer 2

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

A is correct.

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)