# State which of the following pairs of triangles are similar. Write the similarity criterion used and write the pairs of similar triangles in symbolic form (all lengths of sides are in cm).(i) (ii) (iii) (iv) (v) (vi) (vii) A = 70° and B = 50°

And we know that, sum of the angles = 180°

⇒∠A + B +C = 180°

70° + 50° +C = 180°

120° +C = 180°

C = 60°

And In DEF

F = 70° and E = 50°

And we know that, sum of the angles = 180°

⇒∠D + E +F = 180°

⇒∠D + 50° + 70° = 180°

D = 60°

Yes, ABC ~ DEF [by AAA similarity criterion]

(ii) In ABC and PQR

Here, As, So, ABC ~ PQR [by SSS similarity criterion]

(iii) In MNL and PQR

NML = PQR = 70° and  No, the two triangles are not similar.

(iv) In PQR and LMN

PQR = LNM = 50° and   PQR ~ LMN [by SAS similarity criterion]

(v) In LMP and DEF

Here, As So, no two triangles are not similar

(vi) In ABC and PQR

A = Q = 85°

B = P = 60°

and C =R = 35°

So, PQR ~ LMN [by AAA similarity]

(vii) In ABC and PQR

Here, As, So, ABC ~ PQR [by SSS similarity criterion]

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