Geometry math question no Guessing and Please show work
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Reflection in the line x = 0 i.e., in the y-axis.
The line x = 0 means the y-axis.
Let P be a point whose coordinates are (x, y).
Let the image of P be P’ in the y-axis.
Clearly, P’ will be similarly situated on that side of OY which is opposite to P. So, the x-coordinates of P’ will be – x while its y-coordinates will remain same as that of P.
The image of the point (x, y) in the y-axis is the point (-x, y).
Symbolically, My (x, y) = (-x, y)
Rules to find the reflection of a point in y-axis:
(i) Change the sign of abscissa i.e. x-coordinate.
(ii) Retain the ordinate i.e., y-coordinate.
Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.
The line x = 0 means the y-axis.
Let P be a point whose coordinates are (x, y).
Let the image of P be P’ in the y-axis.
Clearly, P’ will be similarly situated on that side of OY which is opposite to P. So, the x-coordinates of P’ will be – x while its y-coordinates will remain same as that of P.
The image of the point (x, y) in the y-axis is the point (-x, y).
Symbolically, My (x, y) = (-x, y)
Rules to find the reflection of a point in y-axis:
(i) Change the sign of abscissa i.e. x-coordinate.
(ii) Retain the ordinate i.e., y-coordinate.
Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.
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