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Congruency Congruent Triangles

ICSE · Class 7 · Mathematics

Complete topic list for Congruency Congruent Triangles in ICSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

58 questions24 flashcards5 concepts

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4 Topics · ICSE Class 7 Mathematics

Topics in Congruency Congruent Triangles

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.

Key Concepts

Central concept: Congruency of triangles means two triangles match exactly in shape and size, so every corresponding side and angle is equal.

Meaning of congruencyCongruent trianglesCorresponding partsS.S.S. conditionS.A.S. conditionA.S.A. conditionA.A.S. conditionR.H.S. condition

Frequently Asked Questions

What are the important topics in Congruency Congruent Triangles for ICSE Class 7 Mathematics?
Congruency Congruent Triangles covers several key topics that are frequently asked in ICSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Congruency Congruent Triangles — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 58 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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