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Chapter 13 of 26
Formula Sheet

Quadrilaterals — Formula Sheet

NIOS · Class 10 · Maths

14 formulas from Quadrilaterals (NIOS Class 10 Maths) on one page, grouped by topic. 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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14 Entries · 3 Sections

Formulas and Key Relations

Angle Properties

∠1 + ∠2 + ∠3 + ∠4 = 360°

∠5 + ∠6 + ∠7 + ∠8 = 360°

In a parallelogram, opposite angles are equal

In a quadrilateral, if one pair of opposite angles is supplementary, the other pair is also supplementary

In a rectangle, each angle is 90°

Properties of Special Quadrilaterals

Opposite sides of a parallelogram are equal

Diagonals of a parallelogram bisect each other

All sides of a rhombus are equal

Diagonals of a rhombus bisect each other at right angles

Diagonals of a rectangle are equal

Theorems on Triangles and Parallel Lines

DE = (1/2)BC and DE ∥ BC

Area = (1/2) × Base × Altitude

Area(triangle ADC) = (1/2) × DC × PD

Area(triangle ACB) = (1/2) × AB × QC

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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 many formulas are in Quadrilaterals?
This sheet lists 14 formulas from Quadrilaterals, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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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