Complete the following statements:
(a) Two line segments are congruent if __________.
(b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is __________.
(c) When we write ∠ A = ∠ B, we actually mean __________.
Answer :
(a) They have the same length
(b) 70°
(c) m ∠ A = m
∠ B
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Give any two reallife examples for congruent shapes.
Answer :
(i) Sheets of same letter pad
(ii) Biscuits in the same packet
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If ΔABC ≅ ΔFED under the correspondence ABC Ã¢â€ â€ FED, write all the Corresponding congruent parts of the triangles.
Answer :
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to
(i) ∠E (ii) (iii) ∠F (iv)
Answer :
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
Answer :
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) ?


Answer :
You have to show that ΔAMP ≅ AMQ.
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) 
… 
Answer :
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?
Answer :
In the figure, the two triangles are congruent.
The corresponding parts are marked. We can write ΔRAT ≅ ?
Answer :
Complete the congruence statement:
ΔBCA ≅?
ΔQRS ≅?
Answer :
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?
Answer :
If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?
Answer :
Explain, why
ΔABC ≅ ΔFED
Answer :
Maths : CBSE NCERT Exercise Solutions for Class 7th for Congruence of Triangles ( Exercise 7.1, 7.2 ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.
Exercise 7.1 
Question 1 
Question 2 
Question 3 
Question 4 
Exercise 7.2 
Question 1 
Question 2 
Question 3 
Question 4 
Question 5 
Question 6 
Question 7 
Question 8 
Question 9 