Q1
A quadrilateral with all sides equal and all angles 90° is a:
Asquare
Brhombus only
Crectangle only
Dtrapezium
CBSEClass 8 (CBSE)MathematicsCh 4 · Topic 1
Properties of Quadrilaterals
Learning the defining properties of different quadrilaterals.
Core concept
A square combines the properties of both a rectangle and a rhombus — all four sides equal, all four angles 90°. Understanding the hierarchy of quadrilaterals (square is a special rectangle, which is a special parallelogram) helps in solving geometry problems, since properties proven for a general parallelogram automatically apply to all its more specific types, like rectangles and squares.
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CBSE class 8 properties of quadrilaterals
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• Parallelogram: opposite sides equal and parallel, opposite angles equal.
• Rectangle: parallelogram properties + all angles 90°.
• Rhombus: all four sides equal, diagonals bisect each other at right angles.
• A square combines rectangle and rhombus properties (all sides equal, all angles 90°).