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Question

(a) In the figure below, can u determine if the pattern is symmetrical and if symmetrical how many lines of symmetry are possible for the following figure?



(b) Name a geometrical figure that has seven lines of symmetry. Draw a diagram showing the lines of symmetry.

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Solution

(a) 2 Marks
(b) 2 Marks

(a) In the given figure, one line of symmetry is possible as depicted in the image below. By folding the figure about this line it will overlap completely.



(b) Any line which divides a diagram into two equal halves is called a line of symmetry. This line of symmetry divides the figure into two identical halves. If a random diagram has 7 such lines, it will have 7 lines of symmetry.

The most basic figure that would have 7 lines of symmetry can be a regular heptagon with all 7 sides equal.


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