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

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• 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.