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14) rotation 180° about the origin

Question

  1. rotation 180° about the origin

Explanation:

Step1: Identify original coordinates

Coordinates: $H(2,3)$, $J(2,0)$, $I(5,4)$

Step2: Apply 180° rotation rule

For a point $(x,y)$, 180° rotation about origin gives $(-x,-y)$.

  • $H'( -2, -3)$
  • $J'( -2, 0)$
  • $I'( -5, -4)$

Answer:

The coordinates of the rotated triangle are $H'(-2, -3)$, $J'(-2, 0)$, and $I'(-5, -4)$. When plotted, these points form the 180° rotation of $\triangle HIJ$ about the origin.