Congruence and similarity in a compound figure

Congruence and similarity in a compound figure

Secondary 2
TGM Original Questions

In the diagram, \(AB=AQ\), \(PA=QS\), and \(AB\parallel QR\). Lines \(QR\) and \(AC\) are produced to meet at \(S\).

  1. Name the triangle congruent to \(PAB\).
  2. Show that \(\triangle PAC\sim\triangle SRC\).
  3. Given \(AP=16\) cm, \(AC=8\) cm and \(RS=11\) cm, find
    1. \(CR\),
    2. \(AB\).

Solution:

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Answer:(a) \(\triangle SQA\); (b) AAA; (c)(i) \(5.5\) cm; (ii) \(4\) cm.

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