Mathematics
Use a graph paper for this question (Take 2 cm = 1 unit on both x and y axis).
(i) Plot the following points : A(0, 4), B(2, 3), C(1, 1) and D(2, 0)
(ii) Reflect points B, C, D on the y-axis and write down their co-ordinates. Name the images as B', C', D' respectively.
(iii) Join the points A, B, C, D, D', C', B' and A in order, so as to form a closed figure. Write down the equation of the line of symmetry of the figure formed.
Reflection
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Answer
(i) The point A(0, 4), B(2, 3), C(1, 1) and D(2, 0) are plotted on the graph below:
(ii) From graph, on reflecting B, C, D on y-axis we get,
B(2, 3) ⇒ B'(-2, 3)
C(1, 1) ⇒ C'(-1, 1)
D(2, 0) ⇒ D'(-2, 0).
(iii) From graph we see that the figure is divided into two symmetrical parts by y-axis.
Hence, the equation of line of symmetry is x = 0.
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(i) Plot the points A(3, 2) and B(5, 4) on a graph paper.
(ii) Reflect A and B in the x-axis to A' and B' respectively. Plot A' and B' on the same graph paper. Write the co-ordinates of A' and B'.
(iii) Write down :
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(b) m∠ABB'.
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(d) the single transformation that maps A' to A".Points P and Q have co-ordinates (0, 5) and (-2, 4).
(i) P is invariant when reflected in an axis. Name the axis.
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