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Similarity Criteria in Euclidean Geometry: Analysis of AA and SAS Postulates

Similarity Criteria in Euclidean Geometry: Analysis of AA and SAS Postulates

Secondary 3

The diagonals of the trapezium \(ABCD\) intersect at \(O\). \(AB\) is parallel to \(DC\). All measurements are in centimetres.

  1. Show that triangles \(AOB\) and \(COD\) are similar.
  2. Calculate \(BD\).

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Answer:\(\text{(i)}\ \triangle AOB\sim\triangle COD\text{ (AA)}\) \(\text{(ii)}\ BD=9.5\text{ cm}\)

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