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The number of lines of symmetry of a triangle depends upon the kind of triangle it is:

  • A scalene triangle with no side lengths equal has no lines of symmetry;
  • An isosceles triangle with two sides equal has 1 line of symmetry that bisects the angle between the two equal sides;
  • An equilateral triangle with all three sides equal has three lines of symmetry - the three lines are the bisectors of the three angles.

A right triangle is a triangle where one angle is 90°. A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle.

No triangle can have exactly 2 lines of symmetry.

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Q: How many lines of symmetry are in a triangle?
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