Mathematics
A point P (-2, 3) is reflected in the line x = 2 to point P'. Find the co-ordinates of P'.
Answer
Since, x = 2 is a straight line parallel to y-axis and at a distance of 2 units from it, therefore in the figure, AB represents x = 2.
Steps of construction :
- Mark P(-2, 3) on the graph.
- From point P draw a straight line perpendicular to AB and produce.
- On this line mark a point P' which is at same distance behind AB as P(-2, 3) before it.
The graph is shown below:
From graph,
P' = (6, 3).
Hence, co-ordinates of P' = (6, 3).
Related Questions
The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6).
(i) State the name of mirror line and write its equation.
(ii) State the co-ordinates of the image of (-8, -5) in the mirror line.
The points P(4, 1) and Q(-2, 4) are reflected in line y = 3. Find the co-ordinates of P', the image of P and Q', the image of Q.
A point P(a, b) is reflected in the x-axis to P'(2, -3), write down the values of a and b. P'' is the image of P, when reflected in the y-axis. Write down the coordinates of P''. Find the coordinates of P''', when P is reflected in the line, parallel to y-axis such that x = 4.
Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image :
(a) A' of A under reflection in the x-axis.
(b) B' of B under reflection in the line AA'
(c) A" of A under reflection in the y-axis.
(d) B" of B under reflection in the line AA''.