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Q.

How many lines of symmetry does a scalene triangle have?

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a

1

b

0

c

6

d

3

answer is D.

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Detailed Solution

 0

A scalene triangle has 0 lines of symmetry because none of its sides or angles are equal. To understand this, let's break it down:

  • Definition of Symmetry: A line of symmetry in a shape is an imaginary line that divides the shape into two identical halves. Each half is a mirror image of the other.
  • Scalene Triangle Characteristics: In a scalene triangle, all three sides and all three angles are different. This means that there is no way to draw a line through the shape such that both halves would mirror each other perfectly.
  • Why 0 Lines of Symmetry? Because a scalene triangle lacks any equal sides or angles, it cannot be divided into identical mirror images along any axis. Therefore, there are no lines of symmetry in a scalene triangle.
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How many lines of symmetry does a scalene triangle have?