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NCERT Solutions for Class 7 Maths Chapter 7: Congruence of Triangles - Exercise 7.1

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Last updated date: 15th Jul 2024
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NCERT Solutions for Class 7 Maths Chapter 7 (EX 7.1)

Free PDF download of NCERT Solutions for Class 7 Maths Chapter 7 Exercise 7.1 (EX 7.1) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 7 Maths Chapter 7 Congruence of Triangles Exercise 7.1 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails. Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 7 Science, Maths solutions and solutions of other subjects.


Class:

NCERT Solutions for Class 7

Subject:

Class 7 Maths

Chapter Name:

Chapter 7 - Congruence of Triangles

Exercise:

Exercise - 7.1

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2024-25

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes

Access NCERT Solutions for Class 7 Chapter 7- Congruence of Triangles

Exercise 7.1

Refer page 3-5 for exercise 7.1 in the PDF.

1. Complete the following statements:

a) Two line segments are congruent if.

Ans: Two objects or shapes are said to be congruent if they have the same shape and size and can coincide with each other.

Two line segments will be considered congruent if they have the same length.

b) Among two congruent angles, one has a measure of \[70^\circ \], the measure of other angle is.

Ans: Two objects or shapes are said to be congruent if they have the same shape and size and can coincide with each other.

Therefore, two angles are said congruent if they have the same angle measure.

Thus, the measure of another angle is also \[70^\circ \].

c) When we write $\angle A = \angle B$, we actually mean.

Ans: Two objects or shapes are said to be congruent if they have the same shape and size and can coincide with each other.

Therefore, two angles are said congruent if they have the same angle measure.

Thus, when it is written that $\angle A = \angle B$ it actually means that the measure of both the angles are equal. That means $m\angle A = m\angle B$.

2. Given any two real time examples for congruent shapes.

Ans: Two objects or shapes are said to be congruent if they have the same shape and size and can coincide with each other.

Two examples in real life for congruent shapes are: 

  1. Take the example of two footballs. They have the same shape and also the same size. Thus, the two footballs are congruent.

  2. Take the example of two wheels of a bicycle. They have the same shape and also the same size. Thus, the two bicycle wheels are congruent.

3. If $\Delta ABC \cong \Delta FED$ under the correspondence $ABC \leftrightarrow FED$, write all the corresponding congruent parts of the triangles.

Ans: Two triangles will be considered congruent under a given correspondence if two sides and angle between those two sides of the given one triangle is equal to corresponding sides and angle of another triangle.

Draw two triangles $\Delta ABC \cong \Delta FED$.

Trinagles ABC and FED

It is given that $\Delta ABC \cong \Delta FED$ thus their corresponding sides are also congruent.

Therefore, it can be concluded that corresponding parts of the triangles are$\angle A \leftrightarrow \angle F$, $\angle B \leftrightarrow \angle E$, $\angle C \leftrightarrow \angle D$, $\overline {AB}  \leftrightarrow \overline {EF} $, $\overline {BC}  \leftrightarrow \overline {ED} $, $\overline {AC}  \leftrightarrow \overline {FD} $.

4. If $\Delta DEF \cong \Delta BCA$ write the part(s) of $\Delta BCA$ that corresponds to:

a) write the part(s) of $\Delta BCA$ that corresponds to $\angle E$.


Triangle BCA and DEF

Ans:

Two triangles will be considered congruent if two sides and angle between those two sides of one triangle is equal to corresponding sides and angle of another triangle.

It is given that $\Delta DEF \cong \Delta BCA$. Thus, the angle corresponding to $\angle E$ is $\angle C$.

b) write the part(s) of $\Delta BCA$ that corresponds to $\overline {EF} $.

Triangle BCA and DEF

Ans:

Two triangles will be considered congruent if two sides and angle between those two sides of one triangle is equal to corresponding sides and angle of another triangle.

It is given that $\Delta DEF \cong \Delta BCA$. Thus, the side corresponding to $\overline {EF} $ is $\overline {CA} $.

c) write the part(s) of $\Delta BCA$ that corresponds to $\angle F$.


Triangle BCA and DEF
Ans:

Two triangles will be considered congruent if two sides and angle between those two sides of one triangle is equal to corresponding sides and angle of another triangle.

It is given that $\Delta DEF \cong \Delta BCA$. Thus, the angle corresponding to $\angle F$ is $\angle A$.

d) write the part(s) of $\Delta BCA$ that corresponds to $\overline {DF} $.

Triangle BCA and DEF

Ans:

Two triangles will be considered congruent if two sides and angle between those two sides of one triangle is equal to corresponding sides and angle of another triangle.

It is given that $\Delta DEF \cong \Delta BCA$. Thus, the side corresponding to $\overline {DF} $ is $\overline {BA} $.

NCERT Solutions For Class 7 Maths Chapter 7 Congruence of Triangles Exercise 7.1

Opting for the NCERT solutions for Ex 7.1 Class 7 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 7.1 Class 7 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 7 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 7 Maths Chapter 7 Exercise 7.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 7 Maths Chapter 7 Exercise 7.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

Do not delay any more. Download the NCERT solutions for Class 7 Maths Chapter 7 Exercise 7.1 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.

FAQs on NCERT Solutions for Class 7 Maths Chapter 7: Congruence of Triangles - Exercise 7.1

1. Why should we choose NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1 by Vedantu?

The NCERT Solutions for Class 7 Maths, Chapter 7 Congruence of Triangles (EX 7.1), Exercise 7.1 by Vedantu, is regarded as the best option for CBSE students when it comes to exam preparation. This chapter has many exercises. We provide the Exercise 7.1 Class 7 Maths NCERT solutions on this website in PDF format. You can download this answer as needed or study it directly from our website or mobile app.

2. What do you mean by Congruence of Triangles in Class 7 Maths Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1?

The Congruence of Triangles in Class 7 Maths, Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1 provides the student with a new way to view the triangle congruence notion. If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, spin, flip, and turn these triangles to create an identical image.

3. What are the topics covered in Chapter 7 Congruence of Triangles in class 7?

The topics covered in Chapter 7 Congruence of Triangles in Class 7 are:

  1. Triangle congruence

  2. Plane congruence in the figure

  3. Congruence between Line Segments

  4. Angles being congruent

  5. Triangle congruence requirements

  6. Congruence between right-angled triangles

4. Is Chapter 7's Congruence of Triangles in NCERT Class 7 Maths important?

Without a doubt, Chapter 7: Congruence of Triangles is a crucial part of 7th-grade math. You can use this as a starting point for the forthcoming classes as well as for any competitive tests. Students should therefore pay special attention to this chapter and comprehend the topics. You can consult Vedantu, where you can download Chapter 7 Congruence of Triangles solutions in a free PDF format that are comprehensive and step-by-step.

5. How many Questions are there in  NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1?

NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles (EX 7.1) Exercise 7.1 has a total of 4 problems. In general, Chapter 7's questions revolve around the congruency of triangles and various congruency criteria. You can consult Vedantu, India's most popular online platform if you're looking for NCERT solutions for Class 7 Math. At Vedantu, all of the chapter exercises are collected in one location and solved step-by-step by a qualified teacher in accordance with the NCERT book's instructions.