O-LevelMathematicsGeometry4024/11 · Oct/Nov 2019 · Q224 Marks
The diagram shows triangle ABC. [Figure X.X - triangle ABC]
- (a)Using a pair of compasses and a straight edge, construct
- (a)(i)the perpendicular bisector of AC.[2]
- (a)(ii)the locus of the points that are equidistant from AB and AC.[1]
- (b)The perpendicular bisector of AC meets BC at P. Q is the point on BC that is equidistant from AB and AC. Mark, and label, the points P and Q on the diagram and measure PQ.[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 2019). The mark or mark type is shown in brackets.
- [2] Acceptable perpendicular bisector of AC, with correct construction arcs
- B1 for an acceptable perpendicular bisector of AC with no/incorrect construction arcs.
- [1] Bisector of angle BAC
- [1] Correct measurement of their PQ
- Strict FT Dep. on correct types of lines in parts (a)(i) and (a)(ii)
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