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Grade 7 Maths Ncert solutions Congruence of Triangles

NCERT books are recommended text book for CBSE school curriculum. Most of the govt aided and private schools in India follow NCERT text books as the syllabus books for school subjects. They are written by eminent academicians and scholars from leading universities and academic institutions in India, and help in building a strong base, as well help understand each concept by relevant examples and exercises. They are termed best in term of concept building, for their usage of real life practical examples, and good end of the chapter exercises.

In this article, we have shared solved NCERT exercises for Class 7 maths congruence of triangle chapter.  Congruence of triangle is an important chapter, as it set a base for the geometry for the future classes. These NCERT solutions will help students in solving their doubts and clarifying confusion regarding confusions regarding this chapter. Students can refer to NCERT solutions for congruence of triangle chapter for their conceptual understanding, as well as matching their own answers with the right solutions of the exercises.

Class 7 math ncert solution congruence of triangle chapter

Exercise 7.1 solutions

Q1 – Complete the following statements: (a) Two line segments are congruent if ___________. (b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is ___________. (c) When we write ∠A = ∠B, we actually mean ___________.  View solution

Q2 – Give any two real-life examples for congruent shapes.  View solution

Q3 – If ∆ABC ≅ ∆FED under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.  View solution

Q4 – If ∆DEF ≅ ∆BCA, write the part(s) of ∆BCA that correspond to (i) ∠E (ii) EF (iii) ∠F (iv) DF View solution

Exercise 7.2 solutions

Q1 – Which congruence criterion do you use in the following? View solution

Q2 – You want to show that ∆ART ≅ ∆PEN, (a) If you have to use SSS criterion, then you need to show (i) AR = (ii) RT = (iii) AT = (b) If it is given that ∠T = ∠N and you are to use SAS criterion, you need to have (i) RT = and (ii) PN = (c) If it is given that AT = PN and you are to use ASA criterion, you need to have (i) ? View solution

Q3 – You have to show that ∆AMP ≅ ∆AMQ. In the following proof, supply the missing reasons. View solution

Q4 – 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 AAA congruence criterion. Is he justified? Why or why not? View solution

Q5 – In the figure, the two triangles are congruent. The corresponding parts are marked. We can write ∆RAT ≅ ?  View solution

Q6 – Complete the congruence statement: View solution

Q7 – 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?  View solution

Q8 – Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.  View solution

Q9 – If ∆ABC and ∆PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use? View solution

Q10 – Explain, why ∆ABC ≅ ∆FED View solution

End Note

In the article, we have shared solutions for ncert exercises for class 7 maths for congruence of triangle chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process.

In case you have any doubts regarding solution, or need further clarification, you can write to us. You can also reach out to us, in case you have doubt in other text books’ problems or school exam papers. We will be glad to assist you in helping with your doubt.

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