ABC is a triangle with AC = 6cm and BC = 9 cm. AB has been drawn below.

1. (a)ABC is a triangle with AC = 6cm and BC = 9 cm. AB has been drawn below.
2. (a)(i)Using a ruler and a pair of compasses only, construct triangle ABC.[2]
3. (a)(ii)Measure BÂC.[1]
4. (b)A rectangular field has dimensions 220m by 350m, each correct to the nearest 10 metres. Calculate the upper bound for the area of the field.[2]
5. (c)The points P, Q, R and S lie on the circumference of a circle. PQRS is a trapezium with PQ parallel to SR. T is the point on SR such that QPT = 66°, QTR = 35° and TQR = 79°.
6. (c)(i)Find PÎS, giving a reason for your answer.[2]
7. (c)(ii)Find PÎQ.[1]
8. (c)(iii)Complete the statements below to show that triangle PQT is congruent to triangle RTQ. 1. Angle PTQ = Angle ................................... 2. Angle PQT = Angle ................................... 3. Triangle PQT is congruent to triangle RTQ. Congruency condition ...................................[3]

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