Mathematics

A point P is reflected in the x-axis. Coordinates of its image are (8, -6).

(i) Find the coordinates of P.

(ii) Find the coordinates of the image of P under reflection in the y-axis.

Reflection

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Answer

(i) Since, (8, -6) is the image of P under reflection in x-axis, let this point be P' so from graph we get,

A point P is reflected in the x-axis. Coordinates of its image are (8, -6). Find the coordinates of P. Find the coordinates of the image of P under reflection in the y-axis. Reflection, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

The coordinates of P are (8, 6).

(ii) We know that,

Rule to find reflection of a point in y-axis :

  1. Change the sign of abscissa i.e. x-coordinate.
  2. Retain the ordinate i.e. y-coordinate.

∴ Point P''(-8, 6) is the image on reflection.

Hence, (-8, 6) is the image of the point (8, 6) on reflection in y-axis.

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