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

Answer 1

He used the rule (x, y) → (−y, x).

Check: (3,2) → (−2,3), (4,5) → (−5,4), (1,2) → (−2,1), which match F′, H′, G′.