“Having four equal sides is a necessary condition for a quadrilateral to be a square, but it is not sufficient.”
This means:
- AA quadrilateral cannot be square unless it has four equal sides, but having four equal sides doesn’t guarantee a quadrilateral to be a square.
- BNo quadrilateral with four equal sides is a square.
- CFor a quadrilateral to be a square, all four sides cannot be equal.
- DIn Mathematics, equality of sides is unrelated to the condition for a quadrilateral to be a square.
Solution & Step-by-step Explanation
A condition is "necessary" if it must be true to satisfy the statement (meaning without it, the quadrilateral cannot be a square). It is "not sufficient" if satisfying it alone does not guarantee the final result (for example, a rhombus also has four equal sides but is not necessarily a square because its internal angles might not be ). This is precisely captured by option A.