Question

A carousel is represented in a coordinate plane with the center of the carousel at the origin. You and three friends sit at A(-4, -4), B (-3, 0), C (-1, -2), and D (-2, -3). At the end of the ride, your positions have rotated 270° clockwise about the center of the carousel. What are your locations at the end of the ride?

A:

B:

C:

D:

1. minhkhang
• A'(4, -4)
• B'(0, -3)
• C'(2, -1)
• D'(3, -2)
Step-by-step explanation:
The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:
(x, y) ⇒ (-y, x)
The rotated points are …
A(-4, -4) ⇒ A'(4, -4)
B(-3, 0) ⇒ B'(0, -3)
C(-1, -2) ⇒ C'(2, -1)
D(-2, -3) ⇒ D'(3, -2)
_____