NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles

 

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NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles- In the previous chapter, we learned about triangles and its properties. In this chapter, we are going to learn a very important geometrical concept, Congruence of Triangle. The relation of two objects or two things being congruent is called congruence. Congruence of triangles is one of the important topics of the geometry. In this chapter, there are only two exercises with 14 questions. The NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles are designed and prepared by our subject experts to help students in their preparation of CBSE final examination. The NCERT solutions are prepared in such a manner that class 7 students are able to understand the concepts of congruence of triangles easily and prepare themselves very well for CBSE final exams to score higher marks. These NCERT Solutions for Class 7 are given here with a detailed explanation of each question of the NCERT textbook.

Before going to discuss NCERT Class 7 Maths Chapter 7 Congruence of Triangles it is important to know the meaning of congruence. So, in geometry, two objects or two figures are congruent if they have the same dimension and same shape, or in other words, we can say that if two objects or figures are congruent if both are exact copies of one another. The relation of two objects or two figures being congruent is called congruence. In NCERT Class 7 Maths Chapter 7 Congruence of Triangles, we will deal with plane figures or 2D only, although congruence is a general concept applicable to 3D figures also. Congruence of plane figures, congruence among line segments, congruence of angles, congruence of triangles, some criteria for congruence of triangles like SSS congruence of two triangles, SAS congruence of two triangles, ASA congruence of two triangles, RHS congruence of two right-angled triangles are the concepts which are covered in this chapter.

Important points of NCERT Class 7 Maths Chapter 7 Congruence of Triangles-

  1. SSS Congruence of two triangles- Under a given correspondence, two triangles are congruent if the three sides of the one triangle are equal in measure to the three corresponding sides of the other triangle.

  2. SAS Congruence of two triangles- Under a given correspondence, two triangles are congruent if two sides and the angle included between them in one of the triangles are equal in measures to the corresponding sides and the angle included between them of the other triangle.

  3. ASA Congruence of two triangles- Under a given correspondence, two triangles are congruent if two angles and the side included between them in one of the triangles are equal in measures to the corresponding angles and the side included between them of the other triangle.
  4. RHS Congruence of two right-angled triangles- Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.

Topics of NCERT Grade 7 Maths Chapter 7 Congruence of Triangles-

7.1 Introduction

7.2 Congruence of Plane Figures

7.3 Congruence among Line Segments

7.4 Congruence of Angles

7.5 Congruence of Triangles

7.6 Criteria for Congruence of Triangles

7.7 Congruence among Right-Angled Triangles

The complete Solutions of NCERT Class 7 Mathematics Chapter 7 is provided below:

 

NCERT Solutions for Class 7 Maths - Chapter-wise 

Chapter No.

Chapter Name

Chapter 1

Integers

Chapter 2

Fractions and Decimals

Chapter 3

Data Handling

Chapter 4

Simple Equations

Chapter 5

Lines and Angles

Chapter 6

The Triangle and its Properties

Chapter 8

Comparing Quantities

Chapter 9

Rational Numbers

Chapter 10

Practical Geometry

Chapter 11

Perimeter and Area

Chapter 12

Algebraic Expressions

Chapter 13

Exponents and Powers

Chapter 14

Symmetry

 

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