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QUESTION IMAGE

4) rotation: 180° about the origin

Question

  1. rotation: 180° about the origin

Explanation:

Step1: Identify original coordinates

From the graph:

  • Point A: $(3, -1)$
  • Point B: $(1, -5)$
  • Point C: $(3, -5)$

Step2: Apply 180° rotation rule

Rule: $(x, y) \to (-x, -y)$

  • A': $(-3, 1)$
  • B': $(-1, 5)$
  • C': $(-3, 5)$

Answer:

Rotated points: $A'(-3,1)$, $B'(-1,5)$, $C'(-3,5)$
(Plot these points to form the rotated triangle.)