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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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’.
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Assertion (A) : The point (-2, 8) is invariant under reflection in line x = -2
Reason (R) : If a point has its x-coordinate 0, it is invariant under reflection in both axes.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
Both A and R are true.