Subject :IMO Class : Class 8
Arrange the given steps while constructing a quadrilateral PQRS, in which PQ = 3.5 cm, QR = 4.2 cm, RS = 5.5 cm, ∠Q = 60° and ∠R = 105°.
Steps of constructions :
Step I : Draw a line segment QR = 4.2 cm.
Step II : With Q as centre, draw ∠RQX = 60°.
Step III : From the ray RY, cut off RS = 5.5 cm.
Step IV : With R as centre, draw ∠QRY = 105°.
Step V : From the ray QX, cut off QP = 3.5 cm
Step VI : Join PS
Thus, PQRS is the required quadrilateral.
AI, V, II, IV, III, VI
BII, I, V, IV, III, VI
CI, II, V, III, IV, VI
DI, II, IV, V, III, VI
Both option option (C) and option (D) are correct, as only the order of drawing the arcs and cutting of points P and S are interchanged. Either step can be carried out in any order.