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Chapter 13 of 26
Formula Sheet

Quadrilaterals

NIOS · Class 10 · Maths

All formulas from Quadrilaterals in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.

38 questions25 flashcards5 concepts

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A labeled diagram of a general quadrilateral showing its sides, vertices, and diagonals.
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14 Formulas · 3 Sections

Formulas

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 Quadrilaterals Classification and Properties, Quadrilaterals Classification and Properties, Quadrilaterals Classification and Properties. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Quadrilaterals — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 38 practice questions available for this chapter. Revise formulas and 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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