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 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
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
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.
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.