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There are no parallel lines in a triangle !
An equilateral triangle contains at least 2 lines of symmetry (it actually contains 3 lines of symmetry). An equilateral triangle is also radially symmetric.If the question is "Is there a triangle with exactly 2 lines lines of symmetry?", the answer is no.
If you mean what type of triangle has perpendicular lines then it is right angle triangle.
Two lines can't do that. It takes three lines to form a triangle.
There are no parallel lines in a triangle.