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What kind
of symmetry do an equilateral and an isosceles triangle have??
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Isosceles triangle has the mirror symmetry relative to the median drawn to its base.
Equilateral triangle has the mirror symmetries relative to any of three its medians.
In addition, Equilateral triangle has the rotational symmetry relative to its center (intersection point of its medians, altitudes and angle bisectors)
for rotations in 120° in any of two directions (clockwise and anti-clockwise).