jameskingfriend1
jameskingfriend1 jameskingfriend1
  • 09-09-2017
  • Mathematics
contestada

Point Y (-1,-3) is rotated 180° about the origin. What are the coordinates of its image, point Y prime ?

1.Y' (-3,-1)
2.Y' (-3,1)
3.Y' (1,3)
4.Y' (3,-1)

Respuesta :

hilolhope hilolhope
  • 09-09-2017
The correct answer is (1,3)
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Аноним Аноним
  • 09-09-2017
Refer to the figure shown below.

When the point Y (-1,-3) is rotated 180 about O, it sweeps a semicircular arc to the point Y' (1,3).
The radius of the semicircle is
[tex]r = \sqrt{1^{2} + 3^{2}} = \sqrt{10} \\ or \\ r = \sqrt{(-1)^{2} + (-3)^{2} } = \sqrt{10}[/tex]

Answer: 3. Y' (1,3)
Ver imagen Аноним
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