Basic Geometry

Basic Geometry

IP 2
5 marks

\(WXYZ\) is a parallelogram. The point \(S\) lies on the line \(YZ\). The line \(WY\) cuts the line \(XS\) at \(A\).\n\(WX = 16\text{ cm}\), \(XA = 8\text{ cm}\) and \(ZS = 10\text{ cm}\). Triangle \(WAX\) is similar to triangle \(YAS\).

  1. Find the length of \(AS\).

    [2]
  2. Given that the area of the parallelogram is \(168\text{ cm}^2\), find the area of \(WZSX\).

    [3]

Solution:

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Answer:(a) \(AS=3\text{ cm}\) (b) Area of \(WZSX=105\text{ cm}^2\)

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