Question
A scalene triangle has _________ lines of symmetry.
A scalene triangle has _________ lines of symmetry.
- 3
- 1
- no line of symmetry
- 2
Hint:
Recall the definition and the properties of a scalene triangle.
The correct answer is: no line of symmetry
Definition: A scalene triangle is a triangle in which all the three sides are unequal.
Properties:
- All the sides of a scalene triangle are unequal.
- All the three angles of a scalene triangle are unequal.
- Scalene triangle has no line of symmetry.
- The angle opposite to the larger side is larger.
For example, consider the following figure:
Here AB = 8 cm, BC = 12 cm, AC = 4 cm.
Thus, the three sides are unequal. Also, the angle opposite to the side BC i.e. 
is the largest.
There is no line of symmetry i.e., there is no line through which the given triangle can be divided into two identical parts.
Therefore, "A scale triangle has no line of symmetry".
Related Questions to study
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Note that a ray has one end point fixed and the other part is extending infinitely.
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Note that a straight line is extended to infinity in both the directions whereas a ray has one end point fixed and the other part is extending infinitely and a line segment has two end points fixed on a straight line.
_______ lines of symmetry an ice cream cone have.
_______ lines of symmetry an ice cream cone have.
_______ lines of symmetry an ice cream cone have.
_______ lines of symmetry an ice cream cone have.
________are the same distance apart and never meet.
Note that parallel lines always keep the same distance from each other and never meet with each other.
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