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# NCERT solutions for Class 7 Mathematics chapter 7 - Congruence of Triangles

## Chapter 7 : Congruence of Triangles

#### Page 137

Q 1.1 | Page 137

Complete the following statements:

Two line segments are congruent if __________.

Q 1.2 | Page 137

Complete the following statements:

Among two congruent angles, one has a measure of 70°; the measure of the other angle is __________.

Q 1.3 | Page 137

Complete the following statements:

When we write ∠A = ∠ B, we actually mean __________

Q 2 | Page 137

Give any two real-life examples for congruent shapes.

Q 3 | Page 137

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

Q 4.1 | Page 137

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

Q 4.2 | Page 137

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

Q 4.3 | Page 137

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

Q 4.4 | Page 137

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

#### Pages 149 - 151

Q 1 | Page 149

Which congruence criterion do you use in the following?

Given: AC = DF

AB = DE

BC = EF

So, ΔABC ≅ ΔDEF

Q 1.2 | Page 149

Which congruence criterion do you use in the following?

Given: ZX = RP

RQ = ZY

∠PRQ = ∠XZY

So, ΔPQR ≅ ΔXYZ

Q 1.3 | Page 149

Which congruence criterion do you use in the following?

Given: ∠MLN = ∠FGH

∠NML = ∠GFH

ML = FG

So, ΔLMN ≅ ΔGFH

Q 1.4 | Page 149

Which congruence criterion do you use in the following?

Given: EB = DB

AE = BC

∠A = ∠C = 90°

So, ΔABE ≅ ΔCDB

Q 2.1 | Page 149

You want to show that ΔART ≅ ΔPEN,

If you have to use SSS criterion, then you need to show

1) AR =

2) RT =

3) AT =

Q 2.2 | Page 149

You want to show that ΔART ≅ ΔPEN,

If it is given that ∠T = ∠N and you are to use SAS criterion, you need to have

1) RT = and

2) PN =

Q 2.3 | Page 149

You want to show that ΔART ≅ ΔPEN,

If it is given that AT = PN and you are to use ASA criterion, you need to have

1) ?

2) ?

Q 3 | Page 150

You have to show that ΔAMP ≅ AMQ.

In the following proof, supply the missing reasons.

 Steps Reasons 1 PM = QM 1 ... 2 ∠PMA = ∠QMA 2 ... 3 AM = AM 3 ... 4 ΔAMP ≅ ΔAMQ 4 ...

Q 4 | Page 150

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?

Q 5 | Page 150

In the figure, the two triangles are congruent.

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

Q 6 | Page 150

Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?

Q 7.1 | Page 150

In a squared sheet, draw two triangles of equal areas such that

The triangles are congruent.

What can you say about their perimeters?

Q 7.2 | Page 150

In a squared sheet, draw two triangles of equal areas such that

The triangles are not congruent.

What can you say about their perimeters?

Q 8 | Page 150

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

Q 9 | Page 151

Explain, why ΔABC ≅ ΔFED.

## NCERT solutions for Class 7 Mathematics chapter 7 - Congruence of Triangles

NCERT solutions for Class 7 Maths chapter 7 (Congruence of Triangles) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 7 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 7 Mathematics chapter 7 Congruence of Triangles are Congruence Among Right- Angled Triangles, Criteria for Congruence of Triangles, Congruence of Triangles, Congruence of Angles, Congruence Among Line Segments, Congruence of Plane Figures.

Using NCERT Class 7 solutions Congruence of Triangles exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 7 prefer NCERT Textbook Solutions to score more in exam.

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