2025 PHS PRELIMS P1 Q13

2025 PHS PRELIMS P1 Q13

Secondary 4
4 marks

In the diagram, \(AB\parallel DC\), and \(AC\) and \(BD\) meet at \(X\).

  1. Show that triangles \(ABX\) and \(CDX\) are similar. Give a reason for each statement.[2]
  2. \(AB=16\text{ cm}\), \(AX=8\text{ cm}\), \(XC=12\text{ cm}\), and \(BD=28\text{ cm}\). Find \(BX\).[2]

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Answer:(a) similar (AA) (b) \(11.2\text{ cm}\)

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