Mirror Image Of Coordinates Of A Point
With respect to x axis:
In image of a point P(x, y) with respect to x axis, the change in only sign of ordinate of point so the image is Q(x, –y).
P1 (–3, 1) & P2 (5, –2) are two points in II & IV quadrant respectively then their images are
Q1 (–3, –1) & Q2 (5, 2) in III & I quadrant respectively.
With respect to y axis:
In image of a point P(x, y) the change in sign of its abscissa so the image is Q(–x, y).
Mirror Image Of Coordinates Of A Point Example Problems With Solutions
Example 1: Find the images of the following points with respect to x axis,
(1, 2), (3/8, 4/3), (-2/3, 3), (2, 5), (5, 0), (0, 7), (– 3, – 4)
Solution:
Example 2: Find the images, of points (0, 0), (3, 0), (0, 2), (5, 1), (–2, 3), (–3, –3), (6, –7) with respect to y axis.
Solution: The images are (0, 0), (–3, 0), (0, 2), (–5, 1),
(2, 3), (3, –3), (–6, –7) respectively.