Foundation June 2019 Paper 2 Q10
10 \(ABC\) is an isosceles triangle.
\(AB = 6\) cm.
\(AC = BC = 7\) cm.
(a) Use ruler and compasses to construct triangle \(ABC\).
You must show all your construction lines.
The line \(AB\) has been drawn for you.
You must show all your construction lines.
The line \(AB\) has been drawn for you.
(b) Use ruler and compasses to construct the perpendicular bisector of the line \(DE\).
You must show all your construction lines.
You must show all your construction lines.
| Scheme | Marks |
|---|---|
| Triangle drawn with correct intersecting arcs 7 cm from \(A\) and 7 cm from \(B\) | B2 |
| (2) |
Notes
B2: for triangle drawn with correct intersecting arcs 7 cm from \(A\) and 7 cm from \(B\) within the overlay
(B1 for two intersecting arcs within the overlay or accurate triangle drawn with no arcs)
| Scheme | Marks |
|---|---|
| Two pairs of intersecting arcs with equal radius centre \(D\) and \(E\) | M1 |
| Correct bisector with arcs | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for arcs that intersect within guidelines or correct perpendicular bisector without arcs.