# Ex.7.2 Q2 Congruence of Triangles - NCERT Maths Class 7

## Question

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) \(RT\) =

(ii) \(PN\) =

(c) If it is given that \(AT\) = \(PN\) and you are to use \(ASA\) criterion, you need to have

(i) \(ZA\)

(ii) \(ZT\)

## Text Solution

**Steps:**

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

(i) \(AR\) = \(PE\)

(ii) \(RT\) = \(EN\)

(iii) \(AT\) = \(PN\)

(b) If it is given that \(∠T = ∠N\) and you are to use \(SAS\) criterion, you need to have

(i) \(RT\) = \(EN\)

(ii) \(PN\) = \(AT\)

(c) If it is given that \(AT\) = \(PN\) and you are to use \(ASA\) criterion to show that \(ΔART ≅ ΔPEN,\) you need to have

(i) \(∠RAT = ∠EPN\)

(ii) \(∠RTA = ∠ENP\)