The diagram shows the lines AB and BC. The point D is on the opposite side of AC to B. AD = 5 cm and CD = 6.5 cm. [Figure 20]
- (a)Construct quadrilateral ABCD.[1]
- (b)(i)On the diagram, construct the locus of points, inside the quadrilateral, that are equidistant from AB and BC,[1]
- (b)(ii)equidistant from B and C.[1]
- (c)The line PQ consists of the points, inside the quadrilateral, which are equidistant from AB and BC, and nearer to C than to B. Mark and label the line PQ on the diagram.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [1] Acceptable quadrilateral with visible arcs
- [1] Acceptable bisector of angle ABC
- [1] Acceptable perpendicular bisector of BC
- [1] Acceptable PQ – dep. on correct types of loci in (b).
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