2026 YTSS P1 Q21

2026 YTSS P1 Q21

Secondary 4
5 marks

In the diagram, \(ABC\) is a triangle. \(DF\) is parallel to \(BC\) and \(AC\) is parallel to \(DE\).

  1. Prove that triangles \(ADF\) and \(ABC\) are similar.
    Give a reason for each statement you make.[2]
  2. Name two triangles that are congruent and show that they are congruent.
    Give a reason for each statement you make.[3]

Solution:

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Answer:(a) \(\triangle ADF\sim\triangle ABC\), AA. (b) \(\triangle DFE\cong\triangle CEF\), ASA.

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