NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1
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The Indian government established the National Council of Educational Research and Training (NCERT), an autonomous organisation, to help public and private schools in India deliver highquality instruction. Since its founding in 1961, NCERT has been in charge of developing educational materials for classes 1 through 12.
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NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1
Congruent refers to the relationship between two Line Segments of the same length. Two Angles are said to be Congruent when their measured distance from one another is equal. Congruence is the state in which two objects are concerning one another. Congruence between Line Segments, Plane Figures, and Triangle Congruence are the topics covered in these NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1. Line Segments are defined as the shortest segment connecting two lines. They are identical in size and shape when one plain figure completely encloses the other. Congruent refers to such an object.
In order to study Congruence, students should refer to the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 and carefully follow every line with the highlighted instructions. This will guarantee that students are comfortable working with all geometric figures, not just Triangles.
Students will benefit from NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 by expanding their theoretical and practical understanding of Dimensions. Students will benefit from knowing how to recognise Congruent shapes because it will help them in future Geometry calculations. Students can also use NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 to practice questions.
Extramarks is one of the best learning portals where students can solve their problems with the help of NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1. The NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 are easy to download offline. Students can also download the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 in PDF format. If students have any issues, they can discuss them in the live session and practise the same with the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1.
Access NCERT Solutions for Class 7 Chapter 7 Congruence of Triangles
Students will learn the full meaning of the Congruence of Triangles by going through the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1. Triangles, the Congruence criteria, and the Congruence of Plane figures are additional ideas covered under this topic. Extramarks presents the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 in order to make studying easy and interesting. If students have access to the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 preparation for exams will be simple.
Students will understand the significance of superposition, a practical method for determining whether any given pair of plane figures are Congruent, after going over the key Congruence concepts outlined in the chapter. Students can attempt to apply this idea to other plane figures after studying the Congruence requirements for Line Segments, Angles, and Triangles.
In order to cover the Congruence phenomenon in all conceivable ways with the use of Lines, Angles, and various types of Triangles, the exercise questions in the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 are carefully compiled. In order to solve other questions of a similar nature that may appear in exams with similar patterns, students should make full use of NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 by thoroughly practising them.
The concept of Congruence is covered in the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 with the help of realworld examples and exercises beginning with the fundamentals of lines, angles, and triangle congruence. An indepth discussion is given regarding the RHS Congruence of right angles and the SSS, SAS, and ASA congruence theorems, which are the foundation for proving that triangles are congruent.
NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 of Congruence of Triangles covers all the Congruence concepts in 14 questions, 12 of which are very straightforward and include a few fillintheblank questions; the remaining questions call for the students to draw figures and solve the problems in the future.
The Congruence theorems mentioned above are emphasised in NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 to demonstrate that Triangles are Congruent. These three Congruence theorems are called SSS, SAS, and ASA. This has also been described in terms of RightAngled Triangles. If the SideSideSide (SSS), SideAngleSide (SAS), and AngleSideAngle (ASA) theorems are generally followed, two Triangles are said to be Congruent. According to SSS, two Triangles are Congruent if their three sides are equal.
They are Congruent if, under a specific correspondence, the Hypotenuse and the rightangled triangles’ legs are equal to the Hypotenuse and the corresponding leg of the other Triangle.
NCERT Solutions For Class 7 Maths Chapter 7 Congruence of Triangles Exercise 7.1
When it comes to exam preparation, choosing the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 is thought to be the best choice for CBSE students. Numerous exercises are included in this chapter. On Extramarks’ website, students can access the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1. The NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 are available for download at the student’s convenience, or they can access it directly from the Extramarks website or mobile application to study them.
The problems and questions from the exercise have been meticulously solved by Extramarks’ subjectmatter experts while adhering to CBSE guidelines. Any student from Class 7 who is thoroughly familiar with all the ideas in the Mathematics textbook and is quite knowledgeable about all the exercises provided there is likely to achieve the highest possible score on the final exam. The NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 can help students understand the types of questions that might be asked in the exams, as well as how much weight each chapter has in terms of overall grade points. Which can helps students appropriately prepare for their final exam.
In addition to NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1, there are numerous exercises in this chapter that include numerous questions.The NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 are resolved and answered by Extramarks’ subject experts. As a result, they are guaranteed to be of high quality, and anyone can go through these solutions during exam preparation. It is crucial to comprehend all the concepts from the textbooks and work through the exercises that are provided to receive the best grade possible in the class.
On the Extramarks website, students can now download the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1. The NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 can be downloaded through the Extramarks application if students have it installed on their phones. The best thing about the NCERT Solutions Class 7 Maths Chapter 7 Exercise 7.1 is that it is possible to access them both online and offline.
Q.1
$\begin{array}{l}\mathrm{Complete}\text{}\mathrm{the}\text{}\mathrm{following}\text{}\mathrm{statements}:\\ \mathrm{a})\mathrm{Two}\text{}\mathrm{line}\text{}\mathrm{segments}\text{}\mathrm{are}\text{}\mathrm{congruent}\text{}\mathrm{if}\text{}\_\_\_\_\_\_\_\_.\\ \mathrm{b})\mathrm{Among}\text{}\mathrm{two}\text{}\mathrm{congruent}\text{}\mathrm{angles},\text{}\mathrm{one}\text{}\mathrm{has}\text{}\mathrm{a}\text{}\mathrm{measure}\text{}\mathrm{of}\text{}70\xb0;\text{}\mathrm{the}\text{}\mathrm{measure}\text{}\mathrm{of}\text{}\mathrm{the}\text{}\mathrm{other}\text{}\mathrm{angle}\text{}\mathrm{is}\text{}\_\_\_\_\_\_\_\_\_.\\ \mathrm{c})\mathrm{When}\text{}\mathrm{we}\text{}\mathrm{write}\text{\hspace{0.17em}}\angle \mathrm{A}=\text{\hspace{0.17em}}\angle \mathrm{B},\text{}\mathrm{we}\text{}\mathrm{actually}\text{}\mathrm{mean}\text{}\_\_\_\_\_\_\_\_\_.\end{array}$
Ans.
$\begin{array}{l}\text{Complete the following statements}:\\ \left(\text{a}\right)\text{Two line segments are congruent if}\\ \text{}\underset{\_}{\text{they have the same length}}.\\ \left(\text{b}\right)\text{Among two congruent angles},\text{one has a measure of 7}0\xb0;\\ \text{the measure of the other angle is}\underset{\_}{\text{7}0\xb0}.\\ \left(\text{c}\right)\text{When we write}\angle \text{A}=\angle \text{B},\text{we actually mean}\underset{\_}{\text{m}\angle \text{A}=\text{m}\angle \text{B}}.\end{array}$
Q.2
$\mathrm{Give}\mathrm{any}\mathrm{two}\mathrm{real}\u2013\mathrm{life}\mathrm{examples}\mathrm{for}\mathrm{congruent}\mathrm{shapes}.$
Ans.
$\begin{array}{l}\left(\text{i}\right)\text{Sheets of same letter pad}\\ \left(\text{ii}\right)\text{Biscuits in the same packet}\end{array}$
Q.3
$\begin{array}{l}\mathrm{If}\mathrm{\Delta ABC}\cong \mathrm{\Delta FED}\mathrm{under}\mathrm{the}\mathrm{correspondence}\mathrm{ABC}\leftrightarrow \mathrm{FED},\\ \mathrm{write}\mathrm{all}\mathrm{the}\mathrm{corresponding}\mathrm{congruent}\mathrm{parts}\mathrm{of}\mathrm{the}\mathrm{triangles}.\end{array}$
Ans.
$\begin{array}{l}\text{If these triangles are congruent},\text{then the corresponding angles}\\ \text{and sides will be equal to each other}.\\ \text{So,}\\ \angle \text{A}\leftrightarrow \text{}\angle \text{F}\\ \angle \text{B}\leftrightarrow \text{}\angle \text{E}\\ \angle \text{C}\leftrightarrow \text{}\angle \text{D}\\ \overline{\text{AB}}\leftrightarrow \overline{\text{FE}}\\ \overline{\mathrm{BC}}\leftrightarrow \overline{\text{ED}}\\ \overline{\text{CA}}\leftrightarrow \overline{\text{DF}}\end{array}$
Q.4
$\begin{array}{l}\mathrm{If}\mathrm{\Delta DEF}\cong \mathrm{\Delta BCA},\mathrm{write}\mathrm{the}\mathrm{part}\left(\mathrm{s}\right)\mathrm{of}\mathrm{\Delta BCA}\mathrm{that}\\ \mathrm{correspond}\mathrm{to}\\ \left(\mathrm{i}\right)\angle \mathrm{E}\left(\mathrm{ii}\right)\text{\hspace{0.17em}}\overline{\mathrm{EF}}\left(\mathrm{iii}\right)\angle \mathrm{F}\left(\mathrm{iv}\right)\overline{\mathrm{DF}}\end{array}$
Ans.
$\begin{array}{l}\text{(i})\text{}\angle \text{C}\\ \left(\text{ii}\right)\text{}\overline{\text{CA}}\\ \left(\text{iii}\right)\text{}\angle \text{A}\\ \left(\text{iv}\right)\text{}\overline{\text{BA}}\end{array}$