Q.

How many lines of symmetry does a rhombus have?


(In this case we mean a rhombus that is not a square)


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a

1

b

2

c

4

d

None 

answer is B.

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Detailed Solution

Concept- We are aware that the definition of a line of symmetry is a line that splits an item into two equal portions. Therefore, we will draw as many lines as are feasible across the rhombus, each one dividing it into two equal pieces, and the total number of these lines will match the necessary number of symmetry lines.
We are aware that the definition of a line of symmetry is a line that splits an item into two equal portions. Therefore, we will draw as many lines as we can through the rhombus so that each line divides the rhombus into two equal pieces.
The rhombus will be drawn first, and the line of symmetry will be drawn now.
Question ImageA rhombus contains just two lines of symmetry, which divide it into two pieces that are exactly the same. The diagonals of the rhombus are both of its lines of symmetry. It follows that the rhombus' diagonals are its lines of symmetry.
Rhombus has two lines of symmetry.
Hence, option 2 is correct.
 
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