Given triangle ABC with vertices A(1, 4), B(2, 1), and C(5, 2).

here are the solutions to your math problems:

18. Transformations
Given triangle ABC with vertices A(1, 4), B(2, 1), and C(5, 2).

• i) Reflection in the line $y = -x$ to A'B'C' The transformation rule for reflection in the line $y = -x$ is $(x, y) \to (-y, -x)$.
  • A(1, 4) $\to$ A'(-4, -1)
  • B(2, 1) $\to$ B'(-1, -2)
  • C(5, 2) $\