O-LevelMathematicsGeometry4024/12 · Oct/Nov 2016 · Q223 Marks
The diagram shows triangle ABC. [Figure 22.1]
- (a)Construct the locus of points, inside triangle ABC, that are equidistant from A and B.[1]
- (b)Construct the locus of points, inside triangle ABC, that are equidistant from AB and BC.[1]
- (c)On the diagram, shade the region inside triangle ABC which contains the points that are nearer to A than to B and nearer to BC than AB.[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 2016). The mark or mark type is shown in brackets.
- [1] (a) Perpendicular bisector of AB.
- [1] (b) Bisector of angle ABC.
- [1√] (c) Correct (bottom right) region shaded.
- FT for two intersecting lines – slightly inaccurate but correct types of loci.
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