Mathematics
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.
Reflection
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Answer
The graph is shown below:
(a) From graph,
Co-ordinates of D = (-2, -2).
(b) From graph,
Co-ordinates of C = (2, -6).
(c) Point P(0, -4) lies on y-axis.
∴ It is invariant under reflection in x = 0.
Co-ordinates of P = (0, -4).
(d) From graph,
ABCD is a square.
(e) From graph,
H is the point of intersection of diagonals of ABCD.
Co-ordinates of H = (2, -2).
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