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QUESTION IMAGE

extra practice see p. 680. compare a figure and its image decide whethe…

Question

extra practice
see p. 680.
compare a figure and its image decide whether
translation of the blue figure.
homework help
example 1: exs. 9 - 14
example 2: exs. 15 - 21
example 3: exs. 22, 23
example 4: exs. 38 - 41
3.7 translations

Explanation:

Step1: Recall the definition of translation

A translation is a transformation that slides a figure without rotating or flipping it.

Step2: Analyze each pair

  • 9: The red figure is flipped (rotated \(180^{\circ}\) in a sense related to orientation), so it is not a translation.
  • 10: The red figure is in the same orientation and can be obtained by sliding the blue figure, so it is a translation.
  • 11: The red figure is flipped (mirror - like), so it is not a translation.
  • 12: The red figure is in the same orientation and can be obtained by sliding the blue figure, so it is a translation.
  • 13: The red figure is in the same orientation and can be obtained by sliding the blue figure, so it is a translation.
  • 14: The red figure is flipped (mirror - like), so it is not a translation.

Answer:

  1. Not a translation; 10. Translation; 11. Not a translation; 12. Translation; 13. Translation; 14. Not a translation.