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No such thing as a regular triangle. You need to be more accurate in your triangular description. Equilateral triangle is symmetric about three lines of symmetry. Isosceles triangle is symmetric one line of symmetry. Right-angled, and Scalene triangles have no lines of symmetry.
Any triangle that is not isosceles or equilateral. An equilateral triangle has 3 lines of symmetry, while an isosceles triangle has only one, and any other triangle (non-isosceles right triangle, or scalene triangle) has zero.
An equilateral triangle has three lines of symmetry. Pick a corner, and draw a line from there to the center of the opposite side of the triangle. That is one of the lines of symmetry. You can get the other two lines by doing this to the other two corners. An isosceles triangle only has one line of symmetry and a scalene triangle has none.
YES!!! An equilateral triangle has three lines of symmetry. They are drawn from any one corner to the opposite base. They should all intersect at the centre of the triangle. By comparison, an Isosceles triangle has only one line of symmetry. From the one unequal angle to the opposite side. Right angled, and scalene triangles do not have lines of symmetry.