Parallel bases and intersecting diagonals

Parallel bases and intersecting diagonals

Secondary 2
6 marks
TGM Original Questions

Optional extension

In the diagram, \(AB\parallel CD\), \(AB=15\) cm, \(CD=5\) cm, \(CX=3\) cm and \(DX=4\) cm.

  1. Complete this mathematical statement. \(\triangle ABX\) is ... to \(\triangle CDX\).[2]
  2. Find the perimeter of \(\triangle ABX\).[2]
  3. If the area of \(\triangle ABX\) is \(y\text{ cm}^2\), express the area of \(\triangle CDX\) in terms of \(y\).[2]

Solution:

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Answer:(a) similar (b) \(36\) cm (c) \(y/9\text{ cm}^2\).

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