Quadrilateral Identification: Equal Sides, Non-Right Angles

This question asks to identify a specific type of quadrilateral based on its properties. We need to find a shape that has four equal sides but does not have four right angles (90 degrees).

Analyzing Quadrilateral Properties

• Equal Sides: The quadrilateral must have all four sides of the same length.
• Angles: The interior angles of the quadrilateral cannot all be right angles.

Evaluating the Options

• Rhombus: A rhombus is defined as a quadrilateral with all four sides equal in length. Its angles are not necessarily right angles. This matches the description.
• Trapezium: A trapezium has at least one pair of parallel sides. Side lengths and angles can vary greatly. This does not fit the criteria.
• Rectangle: A rectangle has four right angles and opposite sides equal. Not all sides are necessarily equal, and it specifically has right angles. This does not fit.
• Square: A square has four equal sides AND four right angles. The condition states angles are NOT right angles, so this is excluded.

Conclusion

Based on the definition, a quadrilateral with equal sides and angles that are not right angles is a rhombus.