Question

Triangle ABC is rotated to create the image A'B'C'.

On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 1, negative 1), B (1, negative 1), and C (0, negative 4). The second triangle has points A prime (1, 1), B prime (negative 1, 1), and C prime (0, 4).
Which rule describes the transformation?

(x, y) → (x, –y)
(x, y) → (y, x)
(x, y) → (–x, –y)
(x, y) → (–y, –x)

Answer 1

Check one point: A(-1,-1) → (-(-1), -(-1)) = (1,1) = A'. B(1,-1) → (-1,1) = B', C(0,-4) → (0,4) = C'.

So the rule is (x, y) → (−x, −y).