69.6k views
0 votes
Rotate AABC 270° counter-clockwise. Find the coordinates of C.

A) (2, 1)
B) (-2,-2)
C) (2, -1)
D) (-2, -1)
E) (-1, -2)

Rotate AABC 270° counter-clockwise. Find the coordinates of C. A) (2, 1) B) (-2,-2) C-example-1

1 Answer

3 votes

1. Start with the given information: We know the original coordinates of point C.

2. Apply the rotation transformation: To rotate a point (x, y) 270° counter-clockwise, we swap the x and y coordinates and negate the new x coordinate.

3. Find the coordinates of C after rotation:

- Let's say the original coordinates of C are (x, y).

- After rotating 270° counter-clockwise, the new coordinates of C are (-y, x).

4. Compare the new coordinates of C to the answer choices provided:

- A) (2, 1): Not a match

- B) (-2,-2): Not a match

- C) (2, -1): Not a match

- D) (-2, -1): Not a match

- E) (-1, -2): This matches the new coordinates of C after rotation.

Therefore, the correct answer is E) (-1, -2). The coordinates of point C after rotating AABC 270° counter-clockwise are (-1, -2).

User Dimich
by
8.5k points