justicejones39 justicejones39
  • 17-04-2017
  • Mathematics
contestada

The point A (-7, 5) is reflected over the line x = -5, and then is reflected over the line x = 2. What are the coordinates of A'?

Respuesta :

slicergiza slicergiza
  • 03-07-2019

Answer:

The reflection image would be (7, 5)

Step-by-step explanation:

When a point is reflected across a line x = p

The rule of reflection,

[tex](x,y)\rightarrow (2p-x, y)[/tex]

Thus, when (-7, 5)  is reflected across x = -5,

[tex](-7, 5) \rightarrow (2(-5)+7,5)[/tex]

The image after reflection is (-3,5),

Again when (-3,5) is reflected across x=2,

[tex](-3,5)\rightarrow (2(2)+3,5)[/tex]

Hence, the resultant image after both reflections would be (7,5).

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