NCERT Class 7 Mathematics Solutions: Chapter 7 – Congruence of Triangles Exercise 7.2 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Understanding of Congruency Symbols

1. You want to show that :

(a) If you have to use SSS criterion, then you need to show:

(i)

(ii)

(iii)

(b) If it is given that and you are to use SAS criterion, you need to have:

(i)

(ii)

(c) If it is given that and you are to use ASA criterion, you need to have:

(i) ?

(ii) ?

Two Triangles ART and PEN

Answer:

(a) Using SSS criterion,

(i)

(ii)

(iii)

(b) Given:

Using SAS criterion,

(i)

(ii)

(c) Given:

Using ASA criterion,

(i)

(ii)

2. You have to show that . In the following proof, supply the missing reasons:

Two Triangles AMP and AMQ
Understanding of Congruency Symbols
StepReasons
(i) (i) ________
(ii) (ii) ________
(iii) (iii) ________
(iv) (iv) ________

Answer:

Steps and Reasons are shown in below table:

Steps and Reasons Are Shown in Table
StepsReasons
(i) (i) Given
(ii) (ii) Given
(iii) (iii) Common
(iv) (iv) SAS congruence rule

(iv) SAS congruence rule: as two sides and angle included between these sides of are equal to two sides and the angle included between these side of .

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