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Concise Mathematics Class 7 ICSE Solutions for Chapter 19 - Congruency: Congruent Triangles

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Last updated date: 22nd Mar 2024
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ICSE Class 7 Mathematics Chapter 19 Selina Concise Solutions - Free PDF Download

Selina Concise Solutions for ICSE Class 7 Maths Chapter 19 Congruency: Congruent Triangles are provided here with simple step-by-step explanations. These solutions for Congruent Triangles are extremely popular among the class 7 students. The Congruent Triangles Math Solutions come in handy enabling students not only quickly complete their homework but to be exam ready. All questions and answers of Class 7 Maths Chapter 19 are provided at Vedantu, an e-learning site, for free. All the solutions for Class 7 Maths Chapter 19 Congruency: Congruent Triangles are prepared by highly expert teachers and are 100% accurate.

Selina ICSE Solutions for Class 7 Maths Chapter 19 Congruent Triangles

ICSE Class 7 Maths Selina Chapter 19 Congruency: Congruent Triangles covers the concept of congruent triangles. It explains that triangles are said to be in congruence when all corresponding sides and interior angles are in congruence (measures similar to one another). The triangles will have the same size and shape and one may be a xerox copy of the other.

Vedantu’s ICSE Solutions to  Class 7 Selina Chapter 19 Congruency: Congruent Triangles1

There is a detailed explanation and solutions to all questions in Vedantu’s Selina solutions for Concise Mathematics Class 7 ICSE chapter 19 (Congruency: Congruent Triangles). 

These Solutions are Extremely Effective for Students Preparing for Their Exams:

  • In preparation for the exams, students can clear their doubts about questions and improve their conceptual understanding.

  • By using the detailed, step-by-step solutions, students will become more familiar with the concepts, and any confusion they might have will be cleared up. 

  • There is no need to worry about the ICSE Concise Mathematics Class 7 ICSE solutions since they are prepared in a way that makes it easier for students to grasp basic concepts.

  • These solutions are prepared by experts following CISCE guidelines and hence can be trusted blindly.

Furthermore, Vedantu offers these study materials to students so they can pass their exams with confidence. Textbook solutions from Selina are a core study aid for self-study and act as a perfect self-help guide for students.  

Important Concepts in Concise Mathematics Class 7 ICSE Chapter 19 Congruency: Congruent Triangles 

  • Congruence through superimposition

  • Initial congruence rules

  • Criteria for congruence 

  • CPCT: We come across the term CPCT when learning about congruent triangles. According to the definition of CPCT, it refers to "Corresponding Parts of Congruent Triangles". According to the theory of congruence, the corresponding triangle parts are equal. The abbreviation CPCT is commonly used in short form instead of the full form when we are dealing with triangles and solving questions.

  • CPCT Rules in Maths:

Corresponding parts of congruent triangles is the full form of CPCT. Triangles can be predicted by calculating their congruence without actually measuring the sides and angles. There are several rules for calculating congruence.

  • SSS (Side-Side-Side)

  • SAS (Side-Angle-Side)

  • ASA (Angle-Side-Angle)

  • AAS (Angle-Angle-Side)

  • RHS (Right angle-Hypotenuse-Side)

  • Exercise on Congruence: Students can find all the exercise questions of the Selina Concise in Vedantu’s Solutions. You can use this to keep it handy for your exam preparation.  

Congruency of Triangles: Explained

In this section of Selina Solutions, you will study how any triangle is explained by 6 measures (3 sides, 3 angles). You will learn about simple tricks and solutions that will eliminate the need to know all of them to prove that two triangles are congruent. Just different groups of three will do using certain postulates. 

Thus, Triangles are Congruent if:

  • SSS (Side Side Side): When all the three corresponding sides are equal in length.

  • SAS (Side Angle Side): A pair of corresponding sides and the contained angle measure equal.

  • AAS (Angle Angle Side): A pair of corresponding angles and a non-contained side measure equal.

  • ASA (Angle Side Angle): A pair of corresponding angles and the contained side is of equal measurement.

  • HL (Hypotenuse Leg of a Right Triangle): Two right triangles are said to be in congruence if the hypotenuse and one leg are equal.

In a triangle, congruence occurs if all three adjacent sides are the same length, and likewise, all 3 angles are the same in length. To make these triangles appear identical, they can be slid, rotated, flipped, and turned. They would coincide if they were repositioned. The symbol of congruence is’ ≅’.

Congruent triangles have the same number of sides and angles. The congruency between two triangles can be determined by four rules. However, all six dimensions must be determined. Congruence can therefore be assessed only with knowledge of three out of six values. Mathematically, congruence refers to the similarity between two figures based on their size and shape. Click here to find out more about congruent figures.

It defines a mirror image as having the same congruence as its corresponding object. Objects or shapes that are congruent are those in which they superimpose on one another. These objects and shapes are of the same type and size. In geometrical figures, segmented lines that have the same length and angles that have the same measure are congruent.  

Have an Edge Over Other Students with Vedantu’s Selina Solutions Class 7 Maths Chapter 19 “Congruency: Congruent Triangles” 

  • The ICSE Selina Maths Solutions Class 7 Chapter 19 Congruency: Congruent Triangles are designed by Vedantu with a clear perspective of offering maximum information to students preparing for the board examinations.

  • Answers to all the questions are presented and answered in a step-by-step manner that is very easy to understand even for first-time practitioners.

  • By referring to Vedantu designed ICSE Solutions for Class 7 Maths Chapter, students can grasp the critical concepts and techniques behind the solutions very quickly.

  • These creatively designed step-by-step solutions will not only assist students by giving them the self-confidence to answer all types of questions in the examinations but will also make sure that they learn the fundamental concepts for the long run as well. 

Class 7 Mathematics establishes the base for higher classes. Keeping that in mind the Selina Solutions Class 7 Maths Chapter 19 Congruent Triangles PDF by Vedantu contains crucial concepts, formulas, and theorems that are also used in upper grades. The Selina Maths Solutions Class 7 focuses on answering the questions in the right way to motivate students to fetch full marks with full confidence in the examination.

FAQs on Concise Mathematics Class 7 ICSE Solutions for Chapter 19 - Congruency: Congruent Triangles

1. What are the Advantages of Learning from Vedantu than any Other E-Learning?

You will have the opportunity to learn from the industry’s leading experts while having complete free access to chapter-wise solutions for your subject. 

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Moreover, those looking out to prepare for competitive exams like NTSE and Olympiads and entrance exams like JEE and NEET can get the advantage of advanced learning through previous year question papers, activity books, mock tests, solved papers, and more.

2. What is different about Vedantu’s Selina Concise Maths ICSE Solutions Class 7 Chapter 19 Congruency: Congruent Triangles?

ICSE Class 7 Maths is perhaps one of the most challenging subjects of all. The chapters documented inside the textbook are tough, and students often get perplexed about the right solution. Vedantu offers Selina Publisher Solutions Class 7 Chapter 19 Congruency: Congruent Triangles Download so that students can study much optimally for their examination and get good marks. All the Selina Concise Maths Solutions Class 7 Chapter 19 Congruency: Congruent Triangles and PDF are drafted by experts at Vedantu who have vast academic experience. The Selina Solutions for Class 7 are typically based on the ICSE directed pattern thus enabling students to perform righteously and gain marks profusely.

3. What are the rules of congruence according to Chapter 19 of Class 7 Maths?

Triangles are Congruent According to Five Rules:

  • The criterion of Side-Side-Side-SSS: side-side-side congruency is the basis for SSS Criterion. If all the three sides of one triangle match those of another triangle, then the two triangles are congruent according to the SSS theorem.

  • For two triangles to be similar, the side angles of one triangle must be congruent with the side angles of another triangle, and even the sides of both triangles must be proportional to one another.

  • Congruence: Angle-Side-Angle Postulate (ASA) states that two angles in one triangle and the included side in another triangle are congruent when both triangles have two included sides.

  • The criterion of the AAS: Angle-Angle-Side

  • Hypotenuse-Side Right Angle.

4. How should I prepare for Chapter 19 - Congruency: Congruent Triangles for Mathematics?

To Master the Chapter:

  • Be thorough with the concepts of the chapter.

  • Go through all the formulas, definitions, and key terms of the chapter.

  • Do not leave out any example questions.

  • Practice the exercise questions multiple times. refer to Vedantu’s Solutions if you find any question difficult.

  • Get added practice by going through Vedantu’s sample papers, previous years’ question papers, important questions, revision notes, etc.

  • Students can also refer to Vedantu’s live sessions and personalized tuition for perfecting their preparation.

5. How to download ICSE Class 7 Mathematics Chapter 19 Selina Concise Solutions?

To Download ICSE Class 7 Mathematics Chapter 19 Selina Concise Solutions :

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