Question

riangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1). The triangle is rotated 270° clockwise using the origin as the center of rotation. Which graph shows the rotated image?
On a coordinate plane, triangle G prime H prime F prime has points (negative 3, negative 2), (1, negative 1), (negative 1, negative 4).
On a coordinate plane, triangle G prime H prime F prime has points (3, 2), (negative 1, 1), (1, 4).
On a coordinate plane, triangle G prime H prime F prime has points (2, negative 3), (1, 1), (4, negative 1).
On a coordinate plane, triangle G prime H prime F prime has points (2, 3), (4, 1), (1, negative 1).

Answer 1

270° clockwise = 90° counterclockwise, which maps (x,y) → (−y, x).

Apply to each vertex:
- G(2, −3) → (3, 2)
- F(4, −1) → (1, 4)
- H(1, 1) → (−1, 1)

So the rotated triangle has vertices (3, 2), (−1, 1), (1, 4) — the second graph.