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.
Similar Questions
If, in the quadrilateral JKLM, the measures of the angles J, K, L, and M are in the ratio 2 : 3 : 5 : 6, then the quadrilateral is a:
- The sum of all internal angles of a quadrilateral is:
- The sum of all internal angles of a quadrilateral is:
Important Questions from Quadrilaterals
The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary at the speed of 12 km per hour completes one round in 8 minutes, then the area of the park in square meter will be
The side of a rhombus is 26 cm. The length of one of its diagonals is 20 cm. The sum of the lengths of the diagonals of this rhombus is equal to the perimeter of a rectangle. If the difference between the length and breadth of the rectangle is 6 cm, then what is the area of the rectangle?
PQRS is a cyclic quadrilateral. If ∠P is 4 times ∠R, and ∠S is 3 times ∠Q, then the average of ∠Q and ∠R is:
ABCD is a trapezium in which AB || DC and DC is perpendicular to BC. If ∠DAB = 110°, then ∠ABC - ∠ADC =_____.
The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:
