You want to show that ∆ART ∆PEN,

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

(i) AR =

(ii) RT =

(iii) AT =

(iv) AT =

(b) If it is given that ∠T = ∠N and you are to use

SAS criterion, you need to have

(i) RT = and (ii) PN =

(c) If it is given that AT = PN and you are to use

ASA criterion, you need to have

(i) ? (ii) ?

(a) In the given question, we have to show that:

Now,

If we have to use SSS criterion, then we need to show the following things:

(i) AR = PE

(ii) RT = EN

(iii) AT = PN

(b) In the above given question, we have:

If it is given that ∠T = ∠N and we have to use SAS criterion

Then, in that case we have to show the following things:

(i) RT = EN

(ii) PN = AT

(c) In the above question, we have:

If it is given that AT = PN and we have to use ASA criterion

Then, it that case we have to show the following things:

(i) ∠ATR = ∠PNE

(ii) ∠RAT = ∠EPN

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