assignment on congruence of triangles class 7

NCERT Solutions Class 7 Maths Chapter 7 Congruence of Triangles

Triangles, as easy as they might look in structure and understanding, hold a lot of important properties. One such property of triangles is congruency which is discussed in the NCERT Solutions for Class 7 maths chapter 7 Congruence of Triangles. If any two objects are said to be congruent, that simply means that they are exact copies of one another. Even two line segments can be congruent if they possess the same length. This concept holds true for angles too. And similarly, it can be extended to even triangles . There are certain theorems that need to be considered while proving any two triangles as congruent . These are logically proved and explained in the NCERT solutions Class 7 maths chapter 7.

After going through the major concepts of congruence drafted in the chapter, the students will recognize the importance of superposition which is a handy way for determining whether any given two plane figures are congruent. After studying the congruency criteria for line segments , angles , and triangles, students can try applying this concept to other plane figures too. The Class 7 maths NCERT solutions chapter 7 Congruence of Triangle can be found in the link below and also find some of these in the exercises given below.

• NCERT Solutions Class 7 Maths Chapter 7 Ex 7.1
• NCERT Solutions Class 7 Maths Chapter 7 Ex 7.2

NCERT Solutions for Class 7 Maths Chapter 7 PDF

Students must have come across various triangular structures and patterns in their surroundings, which makes the importance of triangular shapes in daily life quite evident. Hence, figuring out congruent shapes will be fun as well as useful to learn with the help of the exercises provided in the NCERT Solutions for Class 7 maths chapter 7 Congruence of Triangles, which can be accessed through the links mentioned herewith:

☛ Download Class 7 Maths NCERT Solutions Chapter 7

NCERT Class 7 Maths Chapter 7   Download PDF

NCERT Solutions for Class 7 Maths Chapter 7

The exercise questions provided in the NCERT Solutions Class 7 Maths Chapter 7 Congruence of Triangles are framed strategically so as to encompass the congruence phenomenon in all the possible ways with the demonstration of lines, angles, and different types of triangles. Thus, the students must make use of these exercise questions by practicing them thoroughly as this will help them in solving other similar types of questions that might come in exams having similar patterns. A quick analysis of the questions in each exercise is as presented below:

• Class 7 Maths Chapter 7 Ex 7.1 - 4 Questions
• Class 7 Maths Chapter 7 Ex 7.2 - 10 Questions

☛ Download Class 7 Maths Chapter 7 NCERT Book

Topics Covered: The Class 7 maths NCERT solutions chapter 7 covers the congruence concept with the help of practical examples and activities starting from the basics of lines, angles, to triangles congruence. The SSS, SAS, ASA congruence theorems which form the base for proving triangles congruent, are discussed in detail, including the RHS congruence of right-angles too.

Total Questions: Class 7 maths chapter 7 Congruence of Triangles chapter 7 makes sure to cover all the congruence concepts in 14 questions, 12 of which are very simple, and include a few fill-in-the-blank questions also, the remaining two require the students to draw figures and solve the asked things henceforth.

List of Formulas in NCERT Solutions Class 7 Maths Chapter 7

The NCERT solutions Class 7 maths chapter 7 lays emphasis on the congruence theorems as mentioned above for proving the triangles as congruent. They are the SSS, SAS, ASA congruence theorems. Also, this has been explained for right-angled triangles as well. These important theorems covered in NCERT Solutions for Class 7 maths chapter 7 can be summarized as :

• Congruence Criterion: Two triangles are congruent if they tend to follow the hypothesis of the side-side-side( SSS ), side-angle-side( SAS ), angle-side-angle(ASA) theorem. SSS is stating that if the three sides of one triangle are equal to the three sides of the other, the two triangles are congruent. Similar postulates hold true for SAS and ASA as well.
• Right Angled Triangle Congruence: If the hypotenuse and a leg of one of the right-angled triangles are equal to the hypotenuse and the corresponding leg of the other triangle under a particular correspondence, then they are congruent.

Important Questions for Class 7 Maths NCERT Solutions Chapter 7

Ncert solutions for class 7 maths video chapter 7, faqs on ncert solutions class 7 maths chapter 7, how cbse students can utilize ncert solutions class 7 maths chapter 7 effectively.

The NCERT Solutions Class 7 Maths Chapter 7 has made sure to present the students with every possible practical example, comparison, and activity so as to carve a basic understanding of congruency. The students hence must make a note of all the examples and the highlights put up in blue color in the chapter to make full use of the information compiled by the experts in these solutions.

Do I Need to Practice all Questions Provided in NCERT Solutions Class 7 Maths Congruence of Triangles?

The triangles form the start of the geometry subject, and they have been nicely explained in the NCERT Solutions Class 7 Maths Congruence of Triangles. Hence, a regular practice of the exercise questions will be beneficial for the students to have a firm hold on all the concepts and properties of the triangles, which will ensure a solid foundation of an understanding of further geometry topics ahead.

What are the Important Topics Covered in Class 7 Maths NCERT Solutions Chapter 7?

The SSS, SAS, ASA congruence theorems, along with the RHS congruence of right-angles have been discussed in detail and all the theorems have been derived and proved in the NCERT Solutions Class 7 Maths Chapter 7 to enable a deeper understanding of the topic with the help of relevant examples.

Why are NCERT Solutions Class 7 Maths Chapter 7 Important?

With well-researched content presented in a lucid manner so that everyone understands the concepts equally these NCERT Solutions Class 7 Maths Chapter 7 are important for the students for their reference. The CBSE board always refers these solutions to the students for exam studies as these solutions are easily accessible and understood by all.

What are the Important Formulas in NCERT Solutions Class 7 Maths Chapter 7?

In the case of the congruence concept presented in the NCERT Solutions Class 7 Maths Chapter 7, there are certain postulates or theorems which the students need to remember in order to prove the given two triangles' congruence. Hence, the SSS, SAS, and the ASA theorems are mentioned and proved for the students to understand with the help of examples. Also, how these hold true for a right-angled triangle is also covered in detail.

How Many Questions are there in NCERT Solutions Class 7 Maths Chapter 7 Congruence of Triangles?

The NCERT Solutions Class 7 Maths Chapter 7 Congruence of Triangles has 14 questions in total. The students will find 12 of them straightforward and easy to solve as the majority require figuring out the angles and the equal sides from the given figures and also finding a few unknown parameters. The remaining two require drawing figures to solve the question.

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Learn Congruence of Triangles  - with concepts, questions and worksheets. First the concept is explained, and then the answer is given in a step-by-step easy to understand way.

In this chapter, we will learn

• What is congruency , and common congruent figures, and congruent symbol (≅)
• Congruency of Line Segments
• Condition of angles to be congruent
• What is congruence of triangles
• Naming triangles when two triangles are congruent
• SSS (Side Side Side) Congruence Criteria
• SAS (Side Angle Side) Congruence Criteria
• ASA (Angle Side Angle) Congruence Criteria
• Is ASA same as AAS ?
• Why is AAA not a congruency criteria ?
• RHS (Right angle Hypotenuse Side) Congruence Criteria

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Arinjay Academy » Maths Class 7 » NCERT Solutions for Class 7 Maths Chapter 7 – Congruence of Triangles

NCERT Solutions for Class 7 Maths Chapter 7 – Congruence of Triangles

Class 7 Maths NCERT Solutions Chapter 7 – Congruence of Triangles comprises of the 2 Exercises

• Exercise 7.1
• Exercise 7.2

This Chapter contains the Exercises relating to the following topics , which are discussed in Chapter 7 – Congruence of Triangles Class 7 NCERT book  : –

• 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

NCERT Solutions for Class 7 Maths Chapter 7 – Exercise 7.1

NCERT Solutions for Class 7 Maths Chapter 7 – Exercise 7.2

1. Complete the following statements:

a) Two line segments are congruent if ___________. Answer :  They have the same length.

b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is ___________. Answer:  70°

c) When we write ∠ A = ∠ B, we actually mean ___________ . Answer: m∠ A = m∠B.  That is, if two angles have the same measure, they are congruent.

2. Give any two real-life examples for congruent shapes.

Ex 1: Two coins of same value Ex 2: Pages of a book

3. If ∆ABC ≅ ∆FED under the correspondence ABC ↔ FED, write all th e corresponding congruent parts of the triangles.

4. If ∆DEF ≅ ∆BCA, write the part(s) of ∆BCA that correspond t o

1. Which congruence criterion do you use in the following?

a) Given: AC = DF                         AB = DE BC = EF So, ∆ABC ≅ ∆DE F

SSS criterion is used to prove the congruency.

b)  Given: ZX = RP RQ = ZY ∠ PRQ = ∠ XZ Y                                                            So, ∆PQR ≅ ∆XY Z     

SAS criterion is used to prove the congruency.

c) Given: ∠ MLN = ∠ FG H ∠ NML = ∠ HF G ML = FG So, ∆LMN ≅ ∆GF H

ASA criterion is used to prove the congruency.

d) Given: EB = DB AE = BC ∠ A = ∠ C = 90 ° So, ∆ABE ≅ ∆CD B

RHS criterion is used to prove the congruency.

2. You want to show that ∆ART ≅ ∆PEN ,

a) If you have to use SSS criterion, then you need to show

(i) AR = PE (ii) RT = EN (iii) AT = PN

b) If it is given that ∠ T = ∠ N and you are to use SAS criterion , you need to have

(i) RT = EN (ii) PN = AT

c) If it is given that AT = PN and you are to use ASA criterion, you need to have

(i) ∠RTA = ∠ENP (ii) ∠RAT = ∠EPN

3. You have to show that ∆AMP ≅ ∆AMQ . In the following proof, supply the missing reasons.

4. In ∆ABC, ∠ A = 30° , ∠ B = 40° and ∠ C = 110 ° In ∆PQR, ∠ P = 30° , ∠ Q = 40° and ∠ R = 110 ° A student says that ∆ABC ≅ ∆PQR by AA A congruence criterion. Is he justified? Why or why not?

There is no such thing as AAA Congruence of two triangles. In such a correspondence, one of them can be an enlarged copy of the other. Hence  ∆ABC  ∆PQR

5. In the figure, the two triangles are congruent. The corresponding parts are marked. We can write ∆RAT ≅ ?

Consider the given :  RA = WO ∠RAT = ∠WON AT = ON SAS congruency is satisfied. Therefore we can say that ∆RAT ≅ ∆WON

6. Complete the congruence statement:

i) ∆BCA ≅ ?

Consider the ∆BCA and ∆BTA Given:  BC = BT  (Given) BA =BA   (Common) CA =TA   (Given) Thus, by SSS congruency ∆BCA ≅∆BTA

ii) ∆QRS ≅ ?

Consider the ∆QRS and ∆TPQ Given: QR = TP  (Given) RS = PQ   (Given) QS = TQ   (Given) Thus, by SSS congruency ∆QRS ≅ ∆TPQ

7.  In a squared sheet, draw two triangles of equal areas such that

(i) The triangles are congruent. (ii) The triangles are not congruent.

What can you say about their perimeters?

i) The triangles are congruent

Consider the right-angle ∆ABC and ∆PQR

The area swept by both the triangles is 24cm 2

i.e Area of ∆ABC = 1/2 x base x height

= 1/2 x BC x AB

= 1/2 x 8cm x 6cm

Similarly, Area of ∆PQR = 1/2 x base x height

= 1/2 x PR x PQ

= 1/2 x 6cm x 8cm

By SSS criterion, ∆ABC ≅ ∆PQR and their areas are equal.

ii) The triangles are not congruent.

Consider the ∆LMN and ∆XYZ

i.e Area of ∆LMN =2 x  Area of ∆LON

= 2 x 1/2 x base x height

= 2 x 1/2 x ON x LO

= 2 x 1/2 x 4cm x 6cm

Similarly, Area of ∆XYZ = 1/2 x base x height

= 1/2 x YZ x XY

But, ∆LMN ≇ ∆XYZ even though their areas are equal.

In case of congruent triangles their perimeters are equal (by SSS criterion), and in case of incongruent triangles, their perimeters are not equal.

Note: The lengths of the hypotenuse of all the right-angled triangles are found by Pythagoras Theorem.

8. Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

Consider the  ∆ABC and  ∆XYZ

∠A = ∠X ∠B =∠Y ∠C = ∠Z BC = YZ AC =XZ

But the length  of side AB ≠ XY Therefore ∆ABC ≇ ∆XYZ

9. If ∆ABC and ∆PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

Given: ∆ABC  ≅  ∆PQR ∠ABC = PQR  = 90 o ∠ACB = ∠PRQ Therefore, the additional pair of corresponding part should be a side, say BC = QR Thus, the ASA criterion is used to prove the congruency.

10. Explain, why ∆ABC ≅ ∆FED .

Given: ∠ABC = ∠FED = 90 o BC = ED ∠BAC = ∠EFD By RHS criterion, ∆ABC ≅ ∆FED.

With this we come to the end of NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles. We hope these helped you study your subject.

• Maths NCERT Solutions Class 7
• NCERT Solutions Class 7

Download NCERT Solutions for Class 7 Maths Chapter 7 – Congruence of Triangles

NCERT Solutions for Class 7

Cbse notes for class 7, worksheets for class 7, leave a comment cancel reply.

Worksheets for Class 7 Maths

Cbse class 7 maths worksheet for chapter- congruence of triangles.

• Active page

Sep 29, 2022, 16:45 IST

Worksheet For CBSE Class 7 Maths Chapter - Congruence of Triangles

This page consists of CBSE Class 7 Maths Worksheet for chapter - Congruence of Triangle prepared by Physics Wallah. It states that the two triangles are said to be congruent when they are related and that they are covered exactly. Class 7th chapter Congruence of triangles helps students learn some of the axiom rules that every student needs to continue their higher education.

All questions of class 7 maths chapter - Congruence of Triangles are with detail solutions for reference. Find out all  worksheet for class 7 Maths . Do follow  NCERT Solutions for class 7 Maths  prepared by Physics Wallah.

Solved Examples

Q1. Two line segments are congruent if …………

• They have equal length.
• They have unequal length.
• First is equal to half of second.
• None of them.

Ans.  Correct option is 1

We know that “Two line segments are congruent if they have equal length”.

Q2.  If △ABC and △PQR are congruent under the correspondence: ABC⇔ RQP then, P = …….

Ans.  Correct option is 3

Q3.  If triangle ABC congruence to triangle CBD, then ∠ABC = ………

• none of them

Ans.  Correct option is 2

Since,△ABC ≅ △CBD

Then, ∠ABC = ∠CBD ( by corresponding part of congruence triangle )

Q4.  Among two congruent angles, one has a measure of 60 0 ; the measure of the other angle is …….

When two angles are congruent, then measure of each angle is equal.

Q5.  If you want to show two triangles are congruent, using the ASA rule then you need to show ………….

• All angles are equal.
• All sides are equal.
• Two angle and 1 sides are equal.
• One angle and two sides are equal.

Ans. Correct option is 3

Q6.  What is the side included the angles M and N of MNP?

Q7.  If you want to show two triangles are congruent, using the SAS rule then you need to show ………….

Ans. Correct option is 4

one angle and two sides are equal.

For additional information related to the subject you can check the Maths Formula section. Students can also access the Congruence of Triangles  notes from here.  

• Quiz for Congruence Triangles

Find Below pdf of CBSE​ Class 7 Maths Worksheet of Chapter - Congruence of Triangles

Related Link

• Chapter - 1 Integers
• Chapter - 2 Fraction and Decimals
• Chapter - 3 Data handling
• Chapter - 4 Simple Equations
• Chapter - 5 Line and angles
• Chapter - 6 Triangle and its properties
• Chapter - 7 Congruence Quantities
• Chapter - 8 Comparing Quantities
• Chapter - 9 Rational Numbers
• Chapter - 10 Practical Geometry
• Chapter - 11 Area and perimeter
• Chapter - 12 Algebraic expression
• Chapter - 14 Symmetry
• Chapter - 13 Exponents and powers

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Contents: Congruence of Triangles

Congruence of Triangles - Basic questions related to congruence of triangles

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Assignments Class 7 Mathematics Congruence Of Triangles Pdf Download

Students can refer to Assignments for Class 7 Mathematics Congruence Of Triangles available for download in Pdf. We have given below links to subject-wise free printable Assignments for Mathematics Congruence Of Triangles Class 7 which you can download easily. All assignments have a collection of questions and answers designed for all topics given in your latest NCERT Books for Class 7 Mathematics Congruence Of Triangles for the current academic session. All Assignments for Mathematics Congruence Of Triangles Grade 7 have been designed by expert faculty members and have been designed based on the type of questions asked in standard 7 class tests and exams. All Free printable Assignments for NCERT CBSE Class 7, practice worksheets, and question banks have been designed to help you understand all concepts properly. Practicing questions given in CBSE NCERT printable assignments for Class 7 with solutions and answers will help you to further improve your understanding. Our faculty have used the latest syllabus for Class 7. You can click on the links below to download all Pdf assignments for class 7 for free. You can get the best collection of Kendriya Vidyalaya Class 7 Mathematics Congruence Of Triangles assignments and questions workbooks below.

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• Class 7 practice question banks will support to enhance subject knowledge and therefore help to get better marks in exam

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Unit 12: Congruence of triangles

Congruence of triangles.

• Corresponding parts of congruent triangles are congruent (Opens a modal)
• Corresponding parts of congruent triangles Get 3 of 4 questions to level up!

Criteria for congruence of triangles

• Triangle congruence postulates/criteria (Opens a modal)
• Why SSA isn't a congruence postulate/criterion (Opens a modal)
• Determine congruent triangles Get 5 of 7 questions to level up!
• Find angles in congruent triangles Get 3 of 4 questions to level up!

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Class 7 Mathematics Congruence of Triangles Worksheets

We have provided below free printable  Class 7 Mathematics Congruence of Triangles Worksheets  for Download in PDF. The worksheets have been designed based on the latest  NCERT Book for Class 7 Mathematics Congruence of Triangles . These  Worksheets for Grade 7 Mathematics Congruence of Triangles  cover all important topics which can come in your standard 7 tests and examinations.  Free printable worksheets for CBSE Class 7 Mathematics Congruence of Triangles , school and class assignments, and practice test papers have been designed by our highly experienced class 7 faculty. You can free download CBSE NCERT printable worksheets for Mathematics Congruence of Triangles Class 7 with solutions and answers. All worksheets and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Congruence of Triangles Class 7. Students can click on the links below and download all Pdf  worksheets for Mathematics Congruence of Triangles class 7  for free. All latest Kendriya Vidyalaya Class 7 Mathematics Congruence of Triangles Worksheets  with Answers and test papers are given below.

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Grade 7 Congruence of Triangles Worksheets

Class 7 maths congruence of triangles multiple choice questions (mcqs).

1. Two angles are congruent if they have: (a) Same name (b) Equal measures (c) Unequal measures (d) None of these.

2. Which of the following is not a congmence criterion? (a) SSS (b) SAS (c) ASA (d) None of these

3. If a ∆ ABC ≅ ∆ PQR, then AB is equal to: (a) QR (b) PQ (c) PR (d) None of these

4. In ∆ ABC and ∆PQR, AB = 4cm, BC = 5cm, AC = 6cm and PQ = 4cm, QR = 5cm, PR = 6cm, then which of the following is true: (a) ∆ ABC ≅ ∆ QRP (b) ∆ ABC ≅ ∆ PQR (c) ∆ ABC ≅ ∆ PRQ (d) ∆ ABC ≅ ∆ QPR

5. If ∆ DEF ≅ ∆ BCA, then the part of ∆ BCA that correspond to ∠E is: (a) ∠A (b) ∠B (c) ∠C (d) none of these

6. If ∆ DEF ≅ ∆ ACB, then the part of ∆ ACB that correspond to ∠F is: (a) ∠A (b) ∠B (c) ∠C (d) none of these

7. ∆ ABC and ∆ PQR are congruent under the correspondence: ABC ↔ RQP, then the part of AABC that correspond to ∠P is: (a) ∠A (b) ∠B (c) ∠C (d) none of these

8. ∆ ABC and ∆ PQR are congruent under the correspondence: ABC ↔ RQP, then the part of ∆ ABC that correspond to ∠Q is: (a) ∠A (b) ∠B (c) ∠C (d) none of these

13. ∆ ABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be: (a) ∠B = ∠C = 60° (b) ∠B = ∠C = 30° (c) ∠B = ∠C = 45° (d) ∠B = ∠C = 50°

14. If the vertical angle of a isosceles triangle is 40° then measure of other two angles will be: (a) 60° 60° (b) 70° 70° (c) 50 50° (d) 75° 75°

15. Which one of the following is the value of congruency? (a) SAS (b) ASS (c) SSA (d) none of these

16. What is the angle included between the sides PN and PM of AMNP? (a) ∠N (b) ∠P (c) ∠M (d) none of these

17. In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm, then which of the following is true? (a) ∆ ABC ≅ ∆ QRP (b) ∆ ABC ≅ ∆ PQR (c) ∆ ABC ≅ ∆ RPQ (d) ∆ ABC ≅ ∆ QPR

18. In triangles ABC and DEF. AB = 7 cm. BC = 5 cm, ∠B = 50°, DE = 5 cm, EF = 7 cm, ∠E = 50° By which congruence rule the triangles are congruent? (a) SAS (b) RHS (c) ASA (d) SSS

19. It is to be established by RHS congruence rule that ∆ ABC ≅ ∆ RPQ. What additional information is needed, if it is given that ∠B = ∠P = 90° and AB = RP? (a) AC = RQ (b) ∠A = ∠P (c) BC = QR (d) none of these

20. If ABC and DEF are congruent triangles such that ∠A = 47° and ∠E = 83°, then ∠C = (a) 50° (b) 60° (c) 70° (d) 80°

Class 7 Maths Congruence of Triangles If ∆ PQR and ∆ LMN are congruent under the correspondence QPR ↔ LMN then fill up the blanks:

1. ∠R = ……………… 2. ∠P = ……………… 3. ∠Q = …………….. 4. ∠QR = ………….. 5. ∠QP = …………… 6. ∠RP = ………………

Class 7 Maths Congruence of Triangles True(T) And False(F)

1. If three corresponding angles of two triangles are equal then triangles are congruent. 2. The congruent figure super impose each other completely. 3. The top and bottom faces of a kaleidoscope are congruent. 4. Two figure are congruent, if both have the same shape.

Class 7 Maths Congruence of Triangles Very Short Answer Type Questions

In each of the given triangles applying only ASA congruence criterion, determine which triangles are congruent. Also write the congruent triangles in symbolic form.

Class 7 Maths Congruence of Triangles Short Answer Type Questions

In each of the given pair of triangles applying only SSS congruence criterion, determine which pairs of triangles are congruent. Also write the congruent triangles in symbolic form:

Class 7 Maths Congruence of Triangles Long Answer Type Questions

If ∆ PQR is congruent to ∆ STU then what is the length of TU?

Worksheets for Class 7 Maths

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Assignments For Class 7 Mathematics Congruence Of Triangles

Assignments for Class 7 Mathematics Congruence of Triangles have been developed for Standard 7 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 7 Mathematics Congruence of Triangles from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 7 Mathematics Congruence of Triangles. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Congruence of Triangles book and get good marks in class 7 exams.

Assignments for Class 7 Mathematics Congruence of Triangles as per CBSE NCERT pattern

All students studying in Grade 7 Mathematics Congruence of Triangles should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Congruence of Triangles exam for standard 7. We have made sure that all topics given in your textbook for Mathematics Congruence of Triangles which is suggested in Class 7 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Congruence of Triangles Class 7

All topics covered in congruent triangles class 7 are Congruence of Triangles, Congruence of Plane Figure, Congruence among Line Segment, Congruence of Angles, Criteria for Congruence of Triangles, Congruence among Right Angled Triangles, Congruent Triangles.

Some Important facts about Congruence of Triangles Class 7:

• When 2-line segments are equal in lengths then they are Congruent to each other.
• When the measurement of two angles is equal then the angles are called Congruent.
• If two triangles are congruent, then the three sides of the one triangle are equal respectively to the three corresponding sides of the other triangle and the rule is called SSS congruence criterion.
• If two angles and the side in between them in one triangle are equal respectively to the corresponding two angles and the side of another triangle then those triangles are congruent to each other and this rule is called the ASA congruence criterion.
• When two triangles are congruent, two sides and the included angle between them in one of the triangles are equal to the corresponding sides and the included angle of the other triangle, and this rule is called the SAS congruence criterion.
• In the Right-angled Triangle, if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other right triangle then Two right-angled triangles are congruent and this rule is called the RHS congruence criterion.

Congruence of Triangle Criterion

The criteria for congruent triangles class 7 are explained using following axiom rules:

1- SSS Congruence Rule (Side – Side – Side)

The triangles are said to be congruent if all the three sides of one triangle are equal to the three corresponding sides of another triangle. This shows that all the sides of one triangle are equal to all sides of the other triangle. By using the SSS congruence rule, the two triangles are congruent.

2- SAS Congruence Rule (Side – Angle – Side)

The triangles are said to be congruent if the correspondence, two sides and the angle included between them of a triangle are equal to two corresponding sides and the angle included between them of another triangle.

3- ASA Congruence Rule (Angle – Side – Angle)

The triangles are said to be congruent if two angles and the included side of a triangle are equal to two corresponding angles and the included side of another triangle.

4- RHS Congruence Rule

The triangles are said to be congruent, then the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle.

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• Solving Assignments for Mathematics Congruence of Triangles Class 7 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
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All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 7 Mathematics Congruence of Triangles teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 7 Mathematics Congruence of Triangles Assignments PDF.

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