Line segment equilateral triangle in isosceles triangle is both axisymmetric figure and centrosymmetric figure?

Line segment equilateral triangle in isosceles triangle is both axisymmetric figure and centrosymmetric figure?

Line segments and equilateral triangles. Isosceles triangles are only axisymmetric

Is isosceles triangle included in equilateral triangle because isosceles triangle included in equilateral triangle?

Yes, because the equilateral triangle is a special case of the isosceles triangle, so the equilateral triangle is an element of the isosceles triangle. So the isosceles triangle is really contained in the isosceles triangle

Is an equilateral triangle a centrosymmetric figure? Is an equilateral hexagon?

An equilateral triangle is not a centrosymmetric figure
A regular hexagon is a centrosymmetric figure