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1. NCERT Solutions - Mathematics, Class 7

CHAPTERS

1. Integers

2. Fractions and Decimals

3. Data Handling

4. Simple Equations

5. Lines and Angles

6. The Triangle and its properties

7. Congruence of Triangles

8. Comparing Quantities

9. Rational Numbers

10. Perimeter and Area

11. Algebraic Expressions

12. Exponents and Powers

13. Symmetry

14. Visualising Solid Shapes

EXERCISES

1. Exercise 7.1

2. Exercise 7.2

Q1) Which congruence criterion do you use in the following?

a) Given: AC=DF

AB=EF

BC=EF

So, \Delta ABC\cong\Delta DEF

b) Given: ZX=RP

RQ=ZY

\angle PRQ=\angle XZY

So, \Delta PQR\cong\Delta XYZ

c) Given: \angle MLN=\angle FGH

\angle NML=\angle GFH

ML=FG

d) EB=DB

AE=BC

\Delta ABE\cong\Delta CDB

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

\angle T=\angle 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,

i) ?

ii) ?

Q3) You have to show that \Delta AMP\cong\Delta AMQ In the following proof, supply the missing reasons.

Q4) In \Delta ABC, \angle A=30\degree, \angle B=40\degree and \angle C=110\degree

In \Delta PQR, \angle P=30\degree, \angle Q=40\degree and \angle R=110\degree

A student says that\Delta ABC\cong\Delta PQR\ by AAA

congruence criterion. Is he justified? Why or why not?

Q5) In the figure, the two triangles are congruent. The corresponding parts are marked. We can write \Delta RAT\cong?

Q6) Complete the congruence statement:

\Delta BCA\cong?

\Delta QRS\cong?

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?

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

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

Q10.

Explain, why \triangle ABC\cong\triangle FED

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NCERT Solutions - Mathematics, Class 7

Integers

Fractions and Decimals

Data Handling

Simple Equations

Lines and Angles

The Triangle and its properties

Congruence of Triangles

Comparing Quantities

Rational Numbers

Perimeter and Area

Algebraic Expressions

Exponents and Powers

Symmetry

Visualising Solid Shapes

Exercise 7.1

Exercise 7.2

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