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.
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,
The coordinates of P are (8, 6).
(ii) We know that,
Rule to find reflection of a point in y-axis :
- Change the sign of abscissa i.e. x-coordinate.
- 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.
Related Questions
The image of a point P under reflection in the x-axis is (5, -2). Write down the coordinates of P.
A point P is reflected in the origin. Coordinates of its image are (2, -5). Find
(i) the coordinates of P.
(ii) the coordinates of the image of P in the x-axis.
The point P(2, 3) is reflected in the line x = 4 to the point P'. Find the coordinates of the point P'.