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Question
Use a graph paper for this question taking 1 cm = 1 unit along both the x and y-axis :
1) Plot the points A(0, 5), B(2, 5), C(5, 2), D(5, -2), E(2, -5) and F(0, -5).
2) Reflect the points B, C, D and E on the y-axis and name them respectively as B’, C’, D’ and E’.
3) Write the coordinates of B’, C’, D’ and E’.
4) Name the figure formed by B C D E E’ D’ C’ B’.
5) Name a line of symmetry for the figure formed.
Solution
1) See the figure
2) Reflection of points on the y-axis will result in the change of the x-coordinate
3) Points will be B’(−2, 5), C’(−5, 2), D’(−5, −2), E’(−2, −5).
4) The figure BCDEE’D’C’B’ is a hexagon
5) The lines of symmetry are x-axis or y-axis.
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