Answer:
- Rule: (x, y) ⇒ (-x, -y)
- Coordinates: A'(3, -4), B'(5, -2), C'(2, -3)
Step-by-step explanation:
You want the coordinates of A(-3, 4), B(-5, 2), C(-2, 3) after they have been rotated 180° about the origin.
Rotation 180°
Rotation 180° about the origin is fully equivalent to reflection across the origin, and/or reflection across the x- and y-axes in any order. The transformation changes the sign of each coordinate. The transformation is ...
(x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin
Applying this transformation to the given points, we have ...
A(-3, 4) ⇒ A'(3, -4)
B(-5, 2) ⇒ B'(5, -2)
C(-2, 3) ⇒ C'(2, -3)
