Question

On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1).
Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt?

Correct. He transformed the triangle according to the rule (x, y) → (–y, x).
Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x)

Answer 1

Correct. He used (x, y) → (−y, x).

Check:
- F(3,2) → (−2,3) = F'
- H(4,5) → (−5,4) = H'
- G(1,2) → (−2,1) = G'

This rule is a 90° counterclockwise rotation about the origin. The other rule (x, y) → (y, −x) would give, e.g., F → (2, −3), which does not match the given primed points.