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Question

(a) Sonali's brother drew the following pattern on a graph sheet. Can u determine if the pattern is symmetrical and if symmetrical how many lines of symmetry are possible for the following figure? (b) If a random diagram can be cut into two equal parts so that the two halves look like mirror images by seven lines, then how many lines of symmetry does it have? Draw such a diagram.

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Solution

(a) Part 1: No. of lines of symmetry: 1 Mark (b) Part 2: No. of lines of symmetry: 1 Mark Example: 1 Mark Diagram: 1 Mark (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. Such a figure will have 7 lines of symmetry.

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