Yes either an isosceles triangle or an equilateral triangle
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Yes. Let's say you draw a square, with a triangle on top, like a house. The only line of symmetry for this is straight down the middle.
Some triangles do have a line of symmetry. Equilateral and Isosceles triangles have a line of symmetry. If you can fold a triangle into two equal halves, the folding line is a line symmetry.
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.
A triangle has symmetry.
An Isosceles triangle has at least one line of symmetry but if it has more than one line of symmetry it can be an Equilateral triangle as well as a Isosceles Triangle. So a triangle with one line of symmetry is always Isosceles and If it has more than one it is always an Equilateral triangle as well as an Isosceles triangle. Example of an Isosceles triangle: