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Given the point (7, -1), write the coordinates of a point that is related by a reflection over the x- or y-axis. Specify which axis is the line of symmetry.

Respuesta :

MrRoyal

Answer:

See Explanation

Explanation:

Given

[tex]P(x,y) = (7,-1)[/tex]

Solving (a): Reflection over x-axis

The reflection over the x-axis is: (x , -y)

So:

Point [tex]P(x,y) = (7,-1)[/tex] becomes

[tex]P' = (7,1)[/tex]

Line of symmetry: x-axis

Solving (b): Reflection over y-axis

The reflection over the y-axis is: (-x , y)

So:

Point [tex]P(x,y) = (7,-1)[/tex] becomes

[tex]P' = (-7,-1)[/tex]

Line of symmetry: y-axis