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rotate the shape by $270^{circ}$ clockwise. move the blue points to the…

Question

rotate the shape by $270^{circ}$ clockwise. move the blue points to the new coordinates.
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draw

Explanation:

Step1: Identify original coordinates

Original blue points: $(-5, 4)$, $(3, 7)$, $(3, -6)$, $(-5, -3)$

Step2: Apply 270° clockwise rotation rule

The rule for a 270° clockwise rotation around the origin is $(x, y) \to (-y, x)$.

  • For $(-5, 4)$: $(-4, -5)$
  • For $(3, 7)$: $(-7, 3)$
  • For $(3, -6)$: $(6, 3)$
  • For $(-5, -3)$: $(3, -5)$

Answer:

The new coordinates of the blue points are $(-4, -5)$, $(-7, 3)$, $(6, 3)$, and $(3, -5)$. Plot these points to form the rotated shape.