The diagram shows a quadrilateral PQRS.

  1. (a)

    construct the perpendicular bisector of SR such that it meets PQ at point Z.

    Mark and label Z.

  2. (b)

    measure and write down the size of angle PZS.

    Answer ...°

BisectorsConstruction中文
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Worked solution

14(a)

1. Construct two points equidistant from $S$ and $R$ using compass arcs.

Set the compass radius to more than half of SRSR. With centre SS, draw arcs above and below SRSR. Without changing the compass radius, with centre RR, draw arcs to intersect the first pair of arcs.

2. Draw the perpendicular bisector and mark its intersection with $PQ$.

Use a ruler to join the two arc-intersection points. This line is the perpendicular bisector of SRSR. Extend it if necessary until it meets PQPQ. Mark the point of intersection on PQPQ and label it ZZ.

Answer

The perpendicular bisector of SRSR is drawn, and its intersection with PQPQ is marked and labelled ZZ.

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