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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