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) ?

Question

You want to show that &#x2206;ART &#x2206;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 &#x2220; T = &#x2220; 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) ?

Philoid · Accepted Answer

(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