Higher June 2024 Unit 1 Q3
3. Point \(P\) lies on:
- the bisector of angle \(ABC\)
- the perpendicular bisector of line \(BC\).
Using only a ruler and a pair of compasses, construct suitable lines and arcs to show the position of point \(P\).
Construction arcs must be clearly shown. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Correct construction of bisector of angle ABC. | B1 | Correct construction arcs (initial and secondary) and a line joining B to the point of intersection of the arcs must be seen or an alternative valid method. |
| Correct construction of perpendicular bisector of BC. | B1 | Two correct pairs of intersecting construction arcs and a line joining both of these points of intersection must be seen. |
Correct position of point P | B1 | CAO. Award B1 for the correct point of intersection and not labelled \(P\), provided no other incorrect points are indicated. (May be awarded from previous B0B0.) |