what happens to the sign or signs of the coordinates when you reflect a point?

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vijayalalitha vijayalalitha · Answer 1 · 2020-02-17T12:47:01+01:00

Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.

Explanation:

Part a: Reflecting a point across the x-axis

The reflection is a transformation of a figure which represents a flip.

The rule for a reflection over the x -axis is given by

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

Hence, this represents the change of sign of the y-coordinate.

Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis

The rule for a reflection over the y -axis is given by

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

Hence, this represents the change of sign of the x-coordinate.

Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes

The rule for a reflection across both the axes is given by

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

Hence, this represents the changes the signs of both the coordinates.

Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.

tashaury87 tashaury87 · Answer 2 · 2020-11-26T22:23:28+01:00

Answer:

Reflecting a point across the x-axis----changes the sign of the y-coordinate

Reflecting a point across both axes-----changes the signs of both coordinates

Reflecting a point across the y-axis------changes the sign of both coordinates

Little note:

Hope this helps

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