Congruence, angles and enlargement

Congruence, angles and enlargement

Secondary 2
TGM Original Questions

In the diagram, which is not drawn to scale, \(D\) lies on \(AB\), \(F\) on \(AC\), and \(E\) on \(BC\). Also \(DF\parallel BC\) and \(DE\parallel AC\). Given \(\angle AFD=37^\circ\), \(\angle FED=81^\circ\), \(AD=9\) cm, \(DB=6\) cm and \(EC=12\) cm:

    1. name a pair of congruent triangles
    2. find \(\angle FEC\).
    1. state the scale factor from \(\triangle ADF\) to \(\triangle ABC\)
    2. find \(BE\).

Solution:

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Answer:(a)(i) \(\triangle DFE\cong\triangle CEF\); (ii) \(62^\circ\); (b)(i) \(5/3\); (ii) \(8\) cm.

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