Detailed NCERT Solutions for Class 7 Maths – Chapter 7 – Congruence of Triangles – Exercise – 7.2
1. 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
2. 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) ?
3. You have to show that ΔAMP ≅ ΔAMQ.
In the following proof, supply the missing reasons.
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?
5. In the figure, the two triangles are congruent. The corresponding parts are marked. We can write ΔRAT ≅ ?
6. Complete the congruence statement:
ΔBCA ≅ ? ΔQRS ≅ ?
8. Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.
9. If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?
10. Explain, why
ΔABC ≅ ΔFED.
You can find the solutions for previous exercise from here
- Chapter 7 – Congruence of Triangles – Exercise – 7.1
- The Triangle and its properties – Exercise 6.5
- Chapter 6 – The Triangle and its properties – Exercise 6.4
- Class 7th Maths – Exercise 6.3 Solutions
- Class 7th Maths – Exercise 6.2 Solutions
- Class 7th Maths – Exercise 6.1 Solutions
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