Five friends A, B, C, D and E are standing at the corners, P, Q, R, S and T, respectively as shown belowfigure, such that PS = ST = PT and QS = SR = QR. Also, triangle PQS is an equilateral triangle. Answer the following questions: (a) How many equal sides are there in an equilateral triangle? (i) 2 (ii) 3 (iii) 0 (iv) 4 (b) How many equilateral triangles are there in the given figure? (i) 1 (ii) 2 (iii) 3 (iv) 4 Prepared by: M. S. KumarSwamy, TGT(Maths)Page -6-(c) Which statement is incorrect for the given figure? (i)∠T = ∠R (ii) ∠QPT = 120° (iii) It has a scalene triangle (iv) PT = QS (d) Name the axioms by which ∆PTS and ∆QRS are not congruent (i) SAS (ii) SSS (iii) RHS (iv) None of above (e) If PT = 2x + 1 and QR = 3 -2y, then find the relation between x and y. (i) x + y = 1 (ii) x = y (iii) 2x = y (iv) x/y = 2