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Revision Notes

Congruence Of Triangles

NIOS · Class 10 · Maths

Quick revision notes for Congruence Of Triangles — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

42 questions24 flashcards5 concepts

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An illustration showing various real-world objects that are congruent, such as two identical coins, two identical postage stamps, and two identical biscuits from the same mould, emphasizing they have
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Key Topics to Revise

1

1. Concept of Congruence

  • Congruent figures have the same shape and the same size.
  • When one congruent figure is placed over another, they completely cover each other.
  • Figures with only the same shape but different sizes are similar, not congruent.
2

2. Congruence of Triangles and Notation

  • If two triangles are congruent, all six corresponding parts are equal.
  • The correspondence must be written in the correct vertex order.
  • For triangle congruence, it is not necessary to prove all six parts.
3

3. Criteria for Triangle Congruence

  • There are four criteria for triangle congruence: SAS, ASA, AAS, SSS, and RHS.
  • SAS uses two sides and the included angle.
  • ASA uses two angles and the included side.
4

4. Isosceles and Equilateral Triangles

  • If two sides of a triangle are equal, then the angles opposite them are equal.
  • If two angles of a triangle are equal, then the sides opposite them are equal.
  • In an equilateral triangle, all sides are equal and all angles are 60°.

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Full Notes

Key Concepts

Congruent figures have both the sameLine segments are congruent if theyIf triangle PQR is congruentIf two sides and the includedIf two angles and one side

Frequently Asked Questions

What are the important topics in Congruence Of Triangles for NIOS Class 10 Maths?
Key topics in Congruence Of Triangles include Congruence of Triangles - Concept Overview, Mind map showing the complete structure of the Congruence of Triangles chapter, Flowchart showing the decision process to determine if two figures are congruent. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Congruence Of Triangles — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 42 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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