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Fundamental Theorems of Triangle Congruence: Analysis of Parallelograms and Polygons

Fundamental Theorems of Triangle Congruence: Analysis of Parallelograms and Polygons

Secondary 3

In the diagram, \(ABCD\) is a square. \(\angle DFE=45{}^\circ\).

  1. Prove that \(AF=EC\).
  2. Prove that triangle \(ABF\) is congruent to triangle \(CBE\).

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Answer:\(\text{(i)}\ AF=EC\) \(\text{(ii)}\ \triangle ABF\equiv\triangle CBE\text{ (SAS)}\)

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