no it does not
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A pyramid
A pyramid does not need to have any equal sides. A REGULAR pyramid has as many equal sides as the number of sides on the base. So, a triangular pyramid (tetrahedron) will have 3 equal faces, a square based pyramid will have 4, etc.
yes
A quadrilateral with 4 equal sides is a square or a rhombus
It is a rhombus that has 4 equal sides but is not a square