ICSE Class X Math 2016 Solved Paper
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Question : 23 of 57
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Construct a regular hexagon of side . Hence construct all its lines of symmetry and name them.
Solution:
Steps of Construction :
(i) Using the given data, construct the regular hexagon ABCDEF with each side equal to .
(ii) Draw the perpendicular bisectors of sides and which intersect at at at Y, DE at U, EF at W and FA at Z.
(iii) Join the mid points of opposite sides i.e., UV, WX and and the diagonals passing through the centres i.e., , and .
Hence A regular hexagon has six lines of symmetry - UV, WX, YZ, AD, BE, CF.
(i) Using the given data, construct the regular hexagon ABCDEF with each side equal to .
(ii) Draw the perpendicular bisectors of sides and which intersect at at at Y, DE at U, EF at W and FA at Z.
(iii) Join the mid points of opposite sides i.e., UV, WX and and the diagonals passing through the centres i.e., , and .
Hence A regular hexagon has six lines of symmetry - UV, WX, YZ, AD, BE, CF.
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