4 marks The two loci meet at M and N Measure MN 1 mark 10 a ABCD is a rectangle

4 marks the two loci meet at m and n measure mn 1

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(4 marks) The two loci meet at M and N. Measure MN. (1 mark) 10) (a) ABCD is a rectangle in which AB = 7.6cm and AD = 5.2cm. draw the rectangle and construct the locus of a point P within the rectangle such that it is equidistant from CB and CD. (4 marks) Q is a variable point within the rectangle in (a) above such that 60 0 < AOB < 90 0 . One the same diagram construct and show the locus of Q by leaving unshaded the region in which Q must lie. (6 marks) 5
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11) Use a ruler and a pair of compasses only: a) On the line BC below, construct triangle ABC such that angle ABC = 30 0 and BA = 12cm. (3 marks) b) Construct a perpendicular from A to meet BC produced at D. Measure CD. (3 marks) c) Construct triangle ABC such that the area of triangle A BC is 3 / 4 the area of triangle ABC and on the same side of BC as triangle ABC. (4 marks) d) Describe the locus of point A 1 . (1 mark) 12) In the question use a ruler and a pair of compasses: a) Line PQ drawn is part of triangle PQR. Construct the triangle such that angle QPR = 30 0 and line PR = 8cm. b) On the same diagram construct triangle PRS such that the points S and Q are on opposite sides of PE, PS = SR and QS = 8cm. c) A point T is on the line passing through R and parallel to QS. If angle QTS = 90 0 , locate two possible positions of T and lable T 1 and T 2 . Measure T 1 and T 2 .
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