**NCERT Solutions** is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. **CBSE Class 7 Science** NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

**NCERT Solution For Class 7 Maths – Integers **provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

**Questions Covered : **

**Question 1 : **Complete the following statements:

(a) Two line segments are congruent if _______ .

(b) Among the congruent angles, one has a measure of 70°, the measure of the other angle is _______ .

(c) When we write ∠A = ∠B, we actually mean

**Question 2 : **Give any two real life examples for congruent shapes.

**Question 3 : **If ∆ABC ≅ ∆FED under the correspondence ABC ⟷ FED, write all the corresponding congruent parts of the triangles.

**Question 4 : **If ∆DEF ≅ ∆BCA. Write the part of ABCA that correspond to

(i) ∠E

(ii) EF¯¯¯¯¯¯¯

(iii) ∠ZF

(iv) DF¯¯¯¯¯¯¯

**Question 5 : **Which congruence criterion do you use in the following?

(a) Given: AC = DF

AB = DE

BC = EF

So, ΔABC ≅ ΔDEF

(b) Given: ZX = RP

RQ = ZY

∠PRQ = ∠XZY

So, ΔPQR ≅ ΔXYZ

(c) Given: ∠MLN = ∠FGH

∠NML = ∠GFH

∠ML = ∠FG

So, ΔLMN ≅ ΔGFH

(d) Given: EB = DB

AE = BC

∠A = ∠C = 90o

So, ΔABE ≅ ΔACD

**Question 6 : **You want to show that ΔART ≅ ΔPEN,

(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) ? (ii) ?

**Question 7 : **You have to show that ΔAMP ≅ ΔAMQ.

In the following proof, supply the missing reasons.

Steps Reasons

(i) PM = QM (i) …

(ii) ∠PMA = ∠QMA (ii) …

(iii) AM = AM (iii) …

(iv) ΔAMP ≅ ΔAMQ (iv) …

**Question 8 : **In ΔABC, ∠A = 30o, ∠B = 40o and ∠C = 110o

In ΔPQR, ∠P = 30o, ∠Q = 40o and ∠R = 110o

A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or Why not?

**Question 9 : **In the figure, the two triangles are congruent. The corresponding parts are marked. We can write ΔRAT ≅ ?

**Question 10 : **Complete the congruence statement:

ΔBCA ≅ ΔQRS ≅

**Question 11 : **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?

**Question 12 : **Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

**Question 13 : **If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

**Question 14 : **Explain, why ΔABC ≅ ΔFED.

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**NCERT Solutions For Class 11 Subjects**

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**NCERT Solutions For Class 7 Maths**

**NCERT Solutions for Class 7 Maths Chapter 1**

**NCERT Solutions for Class 7 Maths Chapter 2**

**NCERT Solutions for Class 7 Maths Chapter 3**

**NCERT Solutions for Class 7 Maths Chapter 4**

**NCERT Solutions for Class 7 Maths Chapter 5**

**NCERT Solutions for Class 7 Maths Chapter 6**

**NCERT Solutions for Class 7 Maths Chapter 7**

**NCERT Solutions for Class 7 Maths Chapter 8**

**NCERT Solutions for Class 7 Maths Chapter 9**

**NCERT Solutions For Class 7 Maths**

**NCERT Solutions for Class 7 Maths Chapter 10**

**NCERT Solutions for Class 7 Maths Chapter 11**

**NCERT Solutions for Class 7 Maths Chapter 12**

**NCERT Solutions for Class 7 Maths Chapter 13**

**NCERT Solutions for Class 7 Maths Chapter 14**

**NCERT Solutions for Class 7 Maths Chapter 15**

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