NCERT Solution For Class 7 Maths – Congruence Of Triangles

NCERT Solutions is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. CBSE Class 7 Science NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

NCERT Solution For Class 7 Maths – Integers provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

Questions Covered : 

Question 1 : Complete the following statements:
(a) Two line segments are congruent if _______ .
(b) Among the congruent angles, one has a measure of 70°, the measure of the other angle is _______ .
(c) When we write ∠A = ∠B, we actually mean

Question 2 : Give any two real life examples for congruent shapes.

Question 3 : If ∆ABC ≅ ∆FED under the correspondence ABC ⟷ FED, write all the corresponding congruent parts of the triangles.

Question 4 : If ∆DEF ≅ ∆BCA. Write the part of ABCA that correspond to
(i) ∠E
(ii) EF¯¯¯¯¯¯¯
(iii) ∠ZF
(iv) DF¯¯¯¯¯¯¯

Question 5 : 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 = 90o
So, ΔABE ≅ ΔACD

Question 6 : 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) ?

Question 7 : You have to show that ΔAMP ≅ ΔAMQ.
In the following proof, supply the missing reasons.
Steps Reasons
(i) PM = QM (i) …
(ii) ∠PMA = ∠QMA (ii) …
(iii) AM = AM (iii) …
(iv) ΔAMP ≅ ΔAMQ (iv) …

Question 8 : In ΔABC, ∠A = 30o, ∠B = 40o and ∠C = 110o
In ΔPQR, ∠P = 30o, ∠Q = 40o and ∠R = 110o
A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or Why not?

Question 9 : In the figure, the two triangles are congruent. The corresponding parts are marked. We can write ΔRAT ≅ ?

Question 10 : Complete the congruence statement:
ΔBCA ≅ ΔQRS ≅

Question 11 : 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?

Question 12 : Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

Question 13 : If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

Question 14 : Explain, why ΔABC ≅ ΔFED.