Quadrilateral Construction and Loci

Quadrilateral Construction and Loci

Secondary 1
  1. Construct quadrilateral \(ABCD\) where \(AB=12\) cm, \(BC=6\) cm, \(\angle ABC=90{}^\circ \), \(CD=10.5\) cm and \(AD=11.4\) cm.
  2. Construct
    1. the perpendicular bisector of \(CD\),
    2. the angle bisector of \(\angle ABC\).
  3. Mark clearly a possible point which is inside the quadrilateral, equidistant to the points \(C\) and \(D\), and is nearer to lines \(AB\) than \(BC\). Label this point \(K\).

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Answer:Construction diagram with point K marked inside the quadrilateral

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