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Lines of Symmetry for Regular Polygons

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Question

find out the line(s) of symmetry in regular pentagon.

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Solution

Regular pentagon is a five sided polygon and if we divide the polygon by drawing a shaded line passing from side and intersects the opposite side then it has five lines of symmetry.

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Q. State whether the following statements are true of false:

(i) A right-angled triangle can have at most one line of symmetry.
(ii) An isosceles triangle with more than one line of symmetry must be an equilateral triangle.
(iii) A pentagon with one line of symmetry can be drawn.
(iv) A pentagon with more than one line of symmetry must be regular.
(v) A hexagon with one line of symmetry can be drawn.
(vi) a hexagon with more than two lines of symmetry must be regular.

Find the number of lines of symmetry for a regular pentagon.

A regular pentagon has ___ line(s) of symmetry.

Q. Find out the difference of the squares of the number of line symmetries in a regular pentagon and a rectangle.

Q. How many lines of symmetry can be drawn in a regular pentagon?

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