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Congruency Congruent Triangles — Revision Notes

ICSE · Class 7 · Mathematics

Congruency Congruent Triangles revision notes for ICSE Class 7 Mathematics: 4 topics in quick points. Part of the ICSE Class 7 Mathematics syllabus.

58 questions24 flashcards13 formulas & key relations5 concepts

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Key Topics to Revise

1

Meaning of Congruency

  • If two geometrical figures coincide exactly by placing one over the other, they are congruent.
  • Congruent figures are exactly the same both in shape and size.
  • Two lines are congruent only when they are equal in length.
2

Congruency in Triangles

  • If triangle ABC is placed over triangle DEF and A falls on D, B falls on E, and C falls on F, then the triangles are congruent.
  • In congruent triangles ABC and DEF, corresponding sides are AB-DE, BC-EF, and AC-DF.
  • In congruent triangles ABC and DEF, corresponding angles are A-D, B-E, and C-F.
3

Conditions of Congruency

  • S.S.S. means side, side, side.
  • S.A.S. means side, angle, side.
  • A.S.A. means angle, side, angle.
4

Examples from the Chapter

  • Example 1(i): triangles are congruent by A.S.A. because two angles and the included side are equal.
  • Example 1(ii): triangles are congruent by S.A.S. because two sides and the included angle are equal.
  • Example 2: ∠A is 110° and ∠Z is 50°; the triangles are congruent by A.S.A.

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Full Notes

Key Concepts

Two geometrical figures are congruent ifTwo lines are congruent only whenIn congruent triangles ABC and DEFIf three sides of one triangleIf two sides and the included

Frequently Asked Questions

What are the important topics in Congruency Congruent Triangles for ICSE Class 7 Mathematics?
Key topics in Congruency Congruent Triangles include Meaning of Congruency, Congruency in Triangles, Conditions of Congruency, Examples from the Chapter. Study these first, then practise questions on each for Class 7 exams.
How should I revise Congruency Congruent Triangles for Class 7 exams?
Learn the core ideas first, then work through the 58 practice questions on Congruency Congruent Triangles. 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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All ICSE Class 7 Mathematics Revision Notes

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