NCERT Solutions for Class 7 Maths Chapter 7

Congruence of Triangles Class 7

Chapter 7 Congruence of Triangles Exercise 7.1, 7.2 Solutions

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Exercise 7.1 : Solutions of Questions on Page Number : 137

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 __________.


Answer :

(a) They have the same length

(b) 70°

(c) m ∠ A = m ∠ B
 

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Q2 :  

Give any two real-life examples for congruent shapes.


Answer :

(i) Sheets of same letter pad

(ii) Biscuits in the same packet

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Q3 :  

If ΔABC ≅ ΔFED under the correspondence ABC ↆFED, write all the Corresponding congruent parts of the triangles.


Answer :

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Q4 :  

If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to

(i) ∠E (ii) (iii) ∠F (iv)


Answer :

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<< Previous Chapter 6 : The Triangle and its Properties Next Chapter 8 : Comparing Quantities >>

Exercise 7.2 : Solutions of Questions on Page Number : 149

Q1 :  

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 = 90°

So, ΔABE ≅ ΔCDB


Answer :

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Q2 :  

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) ?


Answer :

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Q3 :  

You have to show that ΔAMP ≅ AMQ.

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)


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Q4 :  

In ΔABC, ∠ A = 30°, ∠ B = 40° and ∠ C = 110°

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

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


Answer :

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Q5 :  

In the figure, the two triangles are congruent.

The corresponding parts are marked. We can write ΔRAT ≅ ?


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Q6 :  

Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?


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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?


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Q8 :  

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


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Q9 :  

Explain, why

ΔABC ≅ ΔFED


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<< Previous Chapter 6 : The Triangle and its Properties Next Chapter 8 : Comparing Quantities >>

Maths : CBSE NCERT Exercise Solutions for Class 7th for Congruence of Triangles ( Exercise 7.1, 7.2 ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.