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Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?

Sagot :

Answer:

[tex](10, 2)[/tex]

Step-by-step explanation:

Reflecting a point [tex](x, y)[/tex] over the line [tex]x=3[/tex] gives the point [tex](x-2(x-3), y)[/tex], which simplifies to [tex](-x+6, y)[/tex].

Plugging in the point [tex](-4, 2)[/tex] to the equation gives the reflected point [tex]A'[/tex], which is at [tex](-(-4)+6, 2)=(10, 2)[/tex]