Mathematics
Plot points A(0, 3), B(4, 0), C(6, 2) and D(5, 0). Reflect the points as given below and write their coordinates :
(a) Reflect A on x-axis to A’.
(b) Reflect B on y-axis to B’.
(c) Reflect C on x-axis to C’.
(d) D remain invariant when reflected on the line whose equation is …………… .
(e) Join the points A, B, C, D, C’, B, A’, B’ and A to form a closed figure. Name the closed figure BCDC’.
Reflection
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Answer
The graph is shown below:
(a) Coordinates of A' = (0, -3).
(b) Coordinates of B' = (-4, 0).
(c) Coordinates of C' = (6, -2).
(d) From graph,
D lies on x-axis.
∴ It is invariant in the line x-axis or y = 0.
D remain invariant when reflected on the line whose equation is y = 0.
(e) From graph,
BCDC' is a concave quadrilateral.
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Related Questions
Plot the points A(2, 2) and B(6, -2) in the graph and answer the following :
(a) Reflect points A in origin to point D and write the co-ordinates of point D.
(b) Reflect points A in line y = -2 to point C and write the co-ordinates of point C.
(c) Find a point P on CD which is invariant under reflection in x = 0, write its co-ordinates.
(d) Write the geometrical name of the closed figure ABCD.
(e) Write the co-ordinates of the point of intersection of the diagonals of ABCD.
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Use graph paper for this question. Take 2 cm = 1 unit along both the axes.
(i) Plot the points A(2, 3), B(2, 2) and C(3, 2).
(ii) Reflect A, B and C about x-axis and name them as A', B' and C' respectively.
(iii) Reflect A, B, C, A', B' and C' about y-axis and name them as A'', B'', C'', A''', B''' and C''' respectively.
(iv) Join A, B, C, C'', B'', A'', A''', B''', C''', C', B', A' and A to make a closed figure.