# NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.2

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 7 |

Subject | Maths |

Chapter | Chapter 7 |

Chapter Name | Congruence of Triangles Ex 7.2 |

Number of Questions Solved | 10 |

## NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.2

**NCERT TEXTBOOK EXERCISES**

**Question 1. Which congruence criterion do you use in the following?**

Given:

So.

AC = DF

AB = DE

BC = EF

so âˆ† ABC = âˆ† DEF

Given: ZX = RP

RQ = ZY

âˆ PRQ = âˆ XZY

So, âˆ† PQR â‰… âˆ† XYZ

Given : âˆ MLN = âˆ FGH

âˆ NML = âˆ GFH

ML = GF

So, âˆ† LMN â‰… âˆ† GFH

Given : EB = DB

AE = BC

âˆ A = âˆ C = 90Â°

So, âˆ† ABE â‰… âˆ† CDB

**Solution:**

**(a)** SSS congruence criterion**(b)** SAS congruence criterion**(c)** ASA congruence criterion**(d)** RHS congruence criterion.

**Question 2. You want to show that âˆ† ART â‰… âˆ† PEN.**

**(Ð°)**Â If you have to use SSS criterion, then you need to show

(i)AR = (ii) RT = (iii) AT =

**(b)** If it is given that âˆ T = âˆ N and you are to use SAS criterion, you need to have

(i) RT = and (ii) PN =

**(c)**Â If it is given that AT = PN and you are to use ASA criterion, you need to have

(i) ? (ii) ?

**Solution:**

**Question 3. You have to show that âˆ† AMP = âˆ† AMQ.**In the following proof, supply the missing reasons.

**Solution:**

**Question 4.**

In âˆ† ABC, âˆ A = 30Â°, âˆ B = 40Â° and âˆ C = 110Â°

In âˆ† PQR, âˆ P = 30Â°, âˆ Q = 40Â° and âˆ R = 110Â°

A student says that âˆ† ABC = âˆ† PQR? by AAA congruence criterion. Is he justifiedâ€™? Why or why not?

**Solution:**

No! he is not justified because AAA is not a criterion for congruence of triangles.

**Question 5. In the figure, the two triangles are congruent. The corresponding parts are marked. We can write âˆ† RAT = ?**

**Solution:**

âˆ† RAT â‰… âˆ† WON

**Question 6. Complete the congruence statement:**

**Solution:**

âˆ† BCA = âˆ† BTA

âˆ† QRS = âˆ† TPQ

**Question 7. In a squared sheet, draw two triangles of equal areas such that**

- the triangles are congruent
- the triangles are not congruent. What can you say about their perimeters?

**Solution:**

**Question 8. Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.**

**Solution:**

In âˆ† ABC and âˆ† DEF,

AB = DF (= 2 cm)

BC = ED (= 4 cm)

CA = EF (= 3 cm)

âˆ BAC = âˆ EDF

âˆ ABC = âˆ DEF

But âˆ† ABC is not congruent to âˆ† DEF.

**Question 9. If âˆ† ABC and âˆ† PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?**

**Solution:**

BC = RQ by ASA congruence rule.

**Question 10. Explain why âˆ† ABC â‰… âˆ† FED**

**Solution:**

âˆ ABC = âˆ FED (= 90Â°) BC = ED

âˆ ACB = âˆ FDE

âˆµ The sum of the measures of the three angles of a triangle is 180Â°.

âˆ† ABC â‰… âˆ† FED (By SAS congruence criterion)

## NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.2 PDF

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