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.
Important Questions from Quadrilaterals
The area of a rectangle is 300 cm 2and the length of its diagonal is 25 cm. The perimeter of the rectangle (in cm) is:
The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:
The area of a trapezium is 18 sq.cm. Its height and base are 3 cm and 5 cm respectively. Find the length of the side parallel to the base.
Find the area of a rhombus whose perimeter is 116 cm and one diagonal is 42 cm in length.
The ratio of sides to a quadrilateral is 2 ∶ 3 ∶ 4 ∶ 5 and the perimeter is 560 cm. Find out the smallest side. (In cm)
