straight, curved, zigzag, and bent.
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Maybe they are bisector, median, altitude and the middle perpendicular. (I hope I put it in English right :)
A triangle has 3 lines of symmetry.
a equilatral triangle has at least up to 4 lines of symetry
A triangle has 3 sides and if two sides are equal then it's an isosceles triangle with one line if symmetry but if all sides are equal then it's an equilateral with three lines of symmetry.
A triangular based pyramid has no parallel lines but it does have 4 faces, 6 edges and 4 vertices.