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

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## 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

1. the triangles are congruent
2. 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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