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Q.

Is it true that a pentagon with more than one line of symmetry must be regular?

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a

True

b

False

answer is A.

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Detailed Solution

A regular pentagon has five lines of symmetry.
More than one line of symmetry can be drawn in a pentagon only when all the sides are equal.
This is true because as the number of lines of symmetry increases, the figure must be symmetric or regular.
So, a pentagon with more than one line of symmetry must be regular.
Question Image

Question Image

So, the given statement is true.
As a result, option 1 is correct.

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Is it true that a pentagon with more than one line of symmetry must be regular?