#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

#### NCERT Mathematics Class 7

## Chapter 7 : Congruence of Triangles

#### Page 137

Complete the following statements:

Two line segments are congruent if __________.

Complete the following statements:

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

Complete the following statements:

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

Give any two real-life examples for congruent shapes.

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

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

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

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

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

#### Pages 149 - 151

Which congruence criterion do you use in the following?

**Given:** AC = DF

AB = DE

BC = EF

So, ΔABC ≅ ΔDEF

Which congruence criterion do you use in the following?

**Given:** ZX = RP

RQ = ZY

∠PRQ = ∠XZY

So, ΔPQR ≅ ΔXYZ

Which congruence criterion do you use in the following?

**Given:** ∠MLN = ∠FGH

∠NML = ∠GFH

ML = FG

So, ΔLMN ≅ ΔGFH

Which congruence criterion do you use in the following?

**Given:** EB = DB

AE = BC

∠A = ∠C = 90°

So, ΔABE ≅ ΔCDB

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 =

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 =

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) ?

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 | ... |

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?

In the figure, the two triangles are congruent.

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

Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?

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

The triangles are congruent.

What can you say about their perimeters?

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

The triangles are not congruent.

What can you say about their perimeters?

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

Explain, why ΔABC ≅ ΔFED.

#### NCERT Mathematics Class 7

#### Textbook solutions for Class 7

## 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.

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