1. In the diagram, LK is a diameter of the circle with centre P. RNS is a tangent to the circle at N. T is a point on NK and TP ⊥ KL. ∠PLN = x.
    15 May 2018 11:51
  2. In the diagram, O is the centre of the circle and P is a point on the circumference of the circle. Arc AB subtends ∠AOB at the centre of the circle and ∠APB at the circumference of the circle.Use the diagram to prove the theorem that states that ∠AOB = 2∠APB
    15 May 2018 11:46
  3. In the diagram, PQRS is a quadrilateral with diagonals PR and QS drawn. W is a point on PS. WT is parallel to PQ with T on QS. WV is parallel to PR with V on RS. TV is drawn. PW:WS = 3:2 Give reasons for ALL statements and calculations
    15 May 2018 11:38
  4. In the diagram, PQRS is a cyclic quadrilateral. ST is a tangent to the circle at S and chord SR is produced to V. PQ = QR, ∠S1 = 42° and ∠S2 = 108°. Determine with reasons, the size of the following angles
    15 May 2018 11:04
  5. In the diagram, B, E and D are pints in the same horizontal plane. AB and CD are vertical poles. Steel cables AE and CE anchor the poles at E. Another steel cable connects A and C. CE = 8.6 m, BE = 10 m, ∠AEB = 40°, ∠AEC = 70° and ∠CED = 27° Calculate the:
    15 May 2018 10:56
  6. In the diagram, the circle, having centre T(0;5), cuts the y-axis at P and R. The line through PO and S(-3;8) intersects the circle at N and the x-axis at M. NS =PS. MT is drawn.
    15 May 2018 10:36
  7. In the diagram below, Q(5; 2) is the centre of a circle that intercepts the y-axis at P(0; 6) and S. The tangent APB at P intersects the x-axis at B and that makes the angle a with the positive x-axis. R is a point on the circle and ∠PRS = θ.
    27 Jul 2017 15:02