Question

triangle abc is rotated to create the image abc. which rule describes the transformation?
options:
(x, y) → (x, −y)
(x, y) → (y, x)
(x, y) → (−x, −y)
(x, y) → (−y, −x)

Explanation:

Step1: Identify coordinates of A

Original A: (-1, 1)

Step2: Identify coordinates of A'

Image A': (1, -1)

Step3: Match with transformation rules

Check rule: (-x, -y) → (-(-1), -1) = (1, -1), which matches A'

Answer:

(x,y) → (-x,-y)