- ARectangle
- BSquare
- CRhombus
- DTrapezium
Step-by-Step Solution
A rhombus has all four sides equal but its angles need not be right angles. A square has all sides equal AND all angles 90°.
Answer: C) Rhombus
Which quadrilateral has all sides equal but angles that need NOT be 90°?
Class 9QuadrilateralsGeometry — Quadrilaterals
Key idea: Tests for a parallelogram
A quadrilateral is a parallelogram if ANY ONE of the following is true:
- Both pairs of opposite sides are parallel (definition).
- Both pairs of opposite sides are equal.
- Both pairs of opposite angles are equal.
- Diagonals bisect each other.
- One pair of opposite sides is **both equal AND parallel**.
That last one is the most efficient — only ONE pair to check, but you need both 'equal' AND 'parallel'.
Don't confuse: just 'one pair parallel' is a trapezium, not a parallelogram.
- Both pairs of opposite sides are parallel (definition).
- Both pairs of opposite sides are equal.
- Both pairs of opposite angles are equal.
- Diagonals bisect each other.
- One pair of opposite sides is **both equal AND parallel**.
That last one is the most efficient — only ONE pair to check, but you need both 'equal' AND 'parallel'.
Don't confuse: just 'one pair parallel' is a trapezium, not a parallelogram.
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More Class 9 Quadrilaterals practice
Joining the midpoints of the sides of a square in order gives a ____.In a parallelogram ABCD, ∠B = 120°. What is the measure of ∠D (in degrees)?In a parallelogram, the bisectors of two adjacent angles meet at a point. The angle…A trapezium ABCD has AB ∥ DC. E and F are midpoints of the non-parallel sides AD and BC.…Diagonals of a parallelogram ____ each other.