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Syllabus

Quadrilaterals — Syllabus

NIOS · Class 10 · Maths

What Quadrilaterals covers in NIOS Class 10 Maths: 4 topics, for the 2026-27 session. Part of the NIOS Class 10 Maths syllabus.

38 questions25 flashcards14 formulas & key relations5 concepts

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A labeled diagram of a general quadrilateral showing its sides, vertices, and diagonals.
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4 Topics · NIOS Class 10 Maths · 2026-27

Topics in Quadrilaterals

1

1. Quadrilateral and Angle Properties

  • A closed figure bounded by four line segments is called a quadrilateral.
  • In quadrilateral ABCD, AB and DC are opposite sides, BC and AD are opposite sides, and AC and BD are the diagonals.
  • The sum of all interior angles of a quadrilateral is 360°.
2

2. Types of Quadrilaterals

  • A trapezium has only one pair of opposite sides parallel.
  • A kite has two pairs of equal adjacent sides.
  • A parallelogram has both pairs of opposite sides parallel.
3

3. Properties of Parallelogram, Rhombus, Rectangle, and Square

  • In a parallelogram, opposite sides are equal.
  • In a parallelogram, opposite angles are equal.
  • In a parallelogram, diagonals bisect each other.
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4. Standard Angle Examples

  • If one angle of a parallelogram is known, the opposite angle is equal and the adjacent angle is supplementary.
  • In a rhombus, adjacent angles add up to 180°.
  • If one diagonal of a rhombus equals a side, the rhombus angles are 60°, 120°, 60°, 120°.

Key Concepts

Central concept: Quadrilateral and its special types, properties, theorems, and area relations

QuadrilateralTypes of quadrilateralsProperties of quadrilateralsTheorems on lines and trianglesArea relations

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Frequently Asked Questions

What are the important topics in Quadrilaterals for NIOS Class 10 Maths?
Key topics in Quadrilaterals include Quadrilateral and Angle Properties, Types of Quadrilaterals, Properties of Parallelogram, Rhombus, Rectangle, and Square, Standard Angle Examples. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Quadrilaterals for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 38 practice questions on Quadrilaterals. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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