O-LevelMathematicsGeometry4024/12 · May/June 2018 · Q194 Marks
On the diagram, construct the perpendicular bisector of AB.
- (a)On the diagram, construct the perpendicular bisector of AB.[1]
- (b)(i)On the diagram, construct the locus of points inside triangle ABC, that are 7 cm from C,[1]
- (b)(ii)equidistant from AB and AC.[1]
- (c)P is any point which is equidistant from A and B and more than 7 cm from C and nearer to AC than AB. Find the extremes of the possible positions of P and label them P₁ and P₂.[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 2018). The mark or mark type is shown in brackets.
- [1] Acceptable perpendicular bisector of AB
- [1] Arc, centre C, radius 7 cm
- [1] Bisector of angle BAC
- [1] P₁ and P₂ marked at intersections of their(a) with (b)(i) and (b)(ii) dependent on correct types of loci in (b).
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →