Congruence from two angles and a side

Congruence from two angles and a side

Secondary 3
3 marks
TGM Original Questions

Triangles \(ABC\) and \(DEF\) have \(AB=DE=7\text{ cm}\), \(\angle BAC=\angle EDF=35^\circ\) and \(\angle ABC=\angle DEF=65^\circ\).

  1. State a test proving that \(\triangle ABC\equiv\triangle DEF\), explaining which side is included.[2]
  2. Find \(\angle DFE\).[1]

Solution:

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Answer:(a) ASA, with included sides \(AB\) and \(DE\) (b) \(80^\circ\)

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