Foundation June 2021 Paper 2 Q4
4 The points \(A\), \(B\) and \(C\), shown on the grid, are the vertices of triangle \(ABC\).

(a) Write down the coordinates of the point \(B\). (1)
(b) Write down the mathematical name of triangle \(ABC\). (1)
The coordinates of point \(D\) are \((1, -4)\)
(c) On the grid, mark with a cross (×) the position of \(D\).
Label the point \(D\). (1)
Label the point \(D\). (1)
(d) Find the coordinates of the midpoint of \(AB\). (2)
| Scheme | Marks |
|---|---|
| (−2, 3) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Isosceles | B1 |
| (1) |
Notes
B1: allow incorrect spelling if meaning is clear
| Scheme | Marks |
|---|---|
| (×) at (1, −4) | B1 |
| (1) |
Notes
B1: clearly indicated by cross or dot - condone missing label as long as unambiguous
| Scheme | Marks |
|---|---|
| (1, 2) | B2 |
| (2) | |
| (5 marks) |
Notes
B2: for (1, 2)
(B1 for (1, \(a\)) where \(a \neq 2\) or (\(b\), 2) where \(b \neq 1\) or ((–2 + 4) ÷ 2, \(a\)) or (\(b\), (3 + 1) ÷ 2) or for the midpoint unambiguously marked)