Mathematics
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.
Answer
(i) Since, (2, -5) is the image of P under reflection in origin, let this point be P' so from graph we get,
The coordinates of P are (-2, 5).
(ii) We know that,
Rule to find reflection of a point in x-axis :
- Retain the abscissa i.e. x-coordinate.
- Change the sign of ordinate i.e. y-coordinate.
∴ Point P''(-2, -5) is the image on reflection.
Hence, P''(-2, -5) is the image of the point P(-2, 5) on reflection in x-axis.
Related Questions
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.
The image of a point P under reflection in the x-axis is (5, -2). Write down the coordinates of P.
The point P(2, 3) is reflected in the line x = 4 to the point P'. Find the coordinates of the point P'.
Find the image of the point P(1, -2) in the line x = -1.