O-LevelMathematicsGeometry4024/11 · May/June 2015 · Q224 Marks
The diagram shows the lines AB and BC. [Figure 22]
- (a)The point D is 11 cm from A and 9cm from C. On the diagram, construct the quadrilateral ABCD.[1]
- (b)(i)On the diagram, construct the locus of points, inside quadrilateral ABCD, that are equidistant from B and C,[1]
- (b)(ii)equidistant from AB and BC.[1]
- (c)These two loci meet at the point P. Label the point P on the diagram and measure DP.[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 (May/June 2015). The mark or mark type is shown in brackets.
- [1] Acceptable D and completion of quad ABCD
- [1] Perpendicular bisector of BC
- [1] Bisector of angle ABC
- [1] DP = 5.4 to 5.9 cm (inclusive)
- Dependent on two acceptable intersecting loci
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