Question

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

Explanation:

Step1: Identify coordinates of ABC and A'B'C'

Assume original points (e.g., A(x,y), B(p,q), C(r,s)) and image points A'(-x,-y), B'(-p,-q), C'(-r,-s) from graph.

Step2: Determine transformation rule

Each (x,y)→(-x,-y), consistent with 180° rotation about origin.

Answer:

(x,y)→(-x,-y)