Mathematics
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''.
Reflection
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Answer
The graph is shown below:
(i) From graph,
Co-ordinates of A' = (3, -4).
(ii) From graph,
Co-ordinates of B' = (6, 2).
(iii) From graph,
Co-ordinates of A" = (-3, 4).
(iv) From graph,
Co-ordinates of B" = (0, 6).
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Related Questions
A point P (-2, 3) is reflected in the line x = 2 to point P'. Find the co-ordinates of P'.
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.
(i) Plot the points A(3, 5) and B(-2, -4). Use 1 cm = 1 unit on both the axes.
(ii) A' is the image of A when reflected in the x-axis. Write down the co-ordinates of A' and plot it on the graph paper.
(iii) B' is the image of B when reflected in the y-axis, followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.
(iv) Write down the geometrical name of the figure AA'BB'.
(v) Name two invariant points under reflection in the x-axis.
The point P(5, 3) was reflected in the origin to get the image P'.
(a) Write down the co-ordinates of P'.
(b) If M is the foot of the perpendicular from P to the x-axis, find the co-ordinates of M.
(c) If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.
(d) Name the figure PMP'N.
(e) Find the area of the figure PMP'N.