Quadrilaterals
NIOS · Class 10 · Maths
Complete topic list for Quadrilaterals in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.
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Get startedTopics in Quadrilaterals
Basic Definitions and Angle Properties
- A quadrilateral is a closed figure formed by four line segments
- Sum of all interior angles = 360°
- Sum of all exterior angles = 360°
Types of Quadrilaterals and Their Properties
- Trapezium: Only one pair of opposite sides parallel
- Parallelogram: Both pairs of opposite sides parallel
- Rectangle: Parallelogram with one angle = 90°
Properties of Parallelograms
- Opposite sides are equal and parallel: AB = DC, AD = BC
- Opposite angles are equal: ∠A = ∠C, ∠B = ∠D
- Diagonals bisect each other: AO = OC, BO = OD
Properties of Special Parallelograms
- Rectangle: All angles = 90°, diagonals equal (AC = BD)
- Rhombus: All sides equal, diagonals bisect at right angles
- Square: All sides equal, all angles = 90°, diagonals equal and bisect at right angles
Key Concepts
Central concept: Quadrilaterals
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