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JAC • Class 7 • Mathematics • Ch 15
Estimated Time: 45 Mins
Study Progress: In Progress

Congruence of Triangles

JCERT · Class 7 · Chapter 15 · Congruence of Triangles. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Why This Chapter Matters

JCERT · Class 7 · Chapter 15 · Congruence of Triangles. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Before You Begin (Prerequisites)

  • Revise relevant arithmetic and ideas from the previous grade.

What You Will Learn (Core Objectives)

  • Congruent figures coincide after a translation, rotation or reflection. Triangle criteria include SSS, SAS, ASA and RHS. Preserve corresponding vertex order. AAA gives the same shape but does not guarantee the same size.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...
2 Concept and method
3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 7 · Chapter 15 — Congruence of Triangles
Official syllabus pages 211–224. Official syllabus · Prescribed Hindi book (22 chapters) · Separate supplementary reference.

These topic notes and teaching examples are not a complete answer key to every textbook question. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

Congruent figures coincide after a translation, rotation or reflection. Triangle criteria include SSS, SAS, ASA and RHS. Preserve corresponding vertex order. AAA gives the same shape but does not guarantee the same size.

Check and common pitfall

All three corresponding sides match. For SAS, the angle must be included between the specified sides.

Key Formulas, Identities & Theorems

Key relationships
SSS; SAS (included angle); ASA; RHS (right angle, hypotenuse, one leg)
Observe the stated conditions and units.

Conceptual Solved Examples & Case Studies

Example 1
Two triangles have corresponding sides 3, 4, 5 cm. Which congruence criterion applies?
Step-by-Step Solution:

SSS: 3 = 3, 4 = 4, 5 = 5

All three corresponding sides match. For SAS, the angle must be included between the specified sides.

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