NCERT Class 7 Mathematics Solutions: Chapter 7 –Congruence of Triangles Exercise 7.2 Part 2

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Understanding of Congruency Symbols

Understanding of Congruency Symbols

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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

Step

Reasons

(i)

(i)___________

(ii)

(ii) ____________

(iii)

(iii) ____________

(iv)

(iv) ___________

Answer:

Steps and Reasons are shown in below table:

Steps and Reasons are shown in table

Steps

Reasons

(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 .