Not necessarily. A quadrilateral is made up of 4 sides but they don't have to be the same. Some, like a square and a rhombus, have equal sides but a trapezium can have 4 different sides.
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No, a quadrilateral must have 4 sides. If it is a proper quadrilateral it must have 4 sides of equal length but if it is an irregular quadrilateral it must have 4 sides but not have equal sides. An example of a quadrilateral could be a square. A pentagon on the other side must have 5 sides.
A quadrilateral with 4 equal sides and 4 right angles is a square.
A Rhombus has four equal sides but not (necessarily) four equal angles.
Not always because a quadrilateral is any type of polygon that has 4 sides which may not be all equal.
Every square is a regular quadrilateral because they have 4 equal sides and 4 equal right angles.