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A triangle can have 0, 1 or 3 lines of symmetry.
An isosceles triangle has 1 line of symmetry, an equilateral triangle has 3 and a scalene triangle has no lines of symmetry.
An isosceles triangle has one line of symmetry
Depending on the triangle, there can be 0, 1, or three lines of symmetry. A scalene triangle (all sides of different lengths) will have no lines of symmetry, an isosceles triangle (exactly two sides of the same length) will have one line of symmetry, and an equilateral triangle (all three sides of the same length) will have three lines of symmetry.
An isosceles triangle has one line of symmetry, which is drawn from the noncongruent side to the opposite vertex, and does not have a rotation symmetry.