NCERT Solutions for Class 7 Mathematics Chapter 7
Important NCERT Questions
Class vii Math Chapter 7 Congruence of Triangles Exercise 7.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 1
Which congruence criterion do you use in the following? (a) Given: AC = DF, AB = DE, BC = EF So If ∆ ABC ≅ ∆ DEF (b) Given: RP = ZX, RQ = ZY, ∠PRQ = ∠XZY So ∆ PQR ≅ ∆ XYZ (c) Given: ∠MLN = ∠FGH, ∠NML = ∠HFG, ML = FG So ∆LMN ≅ ∆GFH (d) Given: EB = BD, AE = CB, ∠A = ∠C = 90° So ∆ABE ≅ ∆CDB
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(a) By SSS congruence criterion,
since it is given that AC = DF, AB = DE, BC = EF
The three sides of one triangle are equal to the three corresponding sides of
another triangle.
Therefore, ∆ABC ≅ ∆DEF
(b) By SAS congruence criterion,
since it is given that RP = ZX, RQ = ZY and ∠PRQ = ∠XZY
The two sides and one angle in one of the triangle are equal to the corresponding
sides and the angle of other triangle.
Therefore, ∠PRQ ≅ ∠XyY
(c) By ASA congruence criterion,
since it is given that ∠MLN = ∠FGH, ∠NML = ∠HFG, ML = FG.
The two angles and one side in one of the triangle are equal to the corresponding
angles and side of other triangle.
Therefore, ∆LMN ≅ ∆GFH
(d) By RHS congruence criterion,
since it is given that EB = BD, AE = CB, ∠A = ∠C = 90°
Hypotenuse and one side of a right angled triangle are respectively equal to the
hypotenuse and one side of another right angled triangle.
Therefore, ∆ABE ≅ ∆CDB
Class 7 Maths Chapter 7 Exercise 7.2
for more answers vist to:
https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-1/