Foundation January 2022 Paper 2 Q5
5 The diagram shows points \(A\) and \(B\) marked on a grid of squares.

(a) On the grid, draw the line with equation \(\;y = -2\) (1)
\(M\) is the midpoint of \(AB\)
(b) Find the coordinates of \(M\) (2)
\(D\) is the point with coordinates \((5, d)\) where \(d \gt 0\)
The triangle \(ABD\) is an isosceles triangle.
(c) Find the value of \(d\) (1)
| Scheme | Marks |
|---|---|
| Correct line | B1 |
| (1) |
Notes
B1: line drawn at \(y = -2\)
| Scheme | Marks |
|---|---|
| \((-1, 2)\) | B2 |
| (2) |
Notes
B2: for both coordinates correct
If not B2, then B1 for one correct coordinate or \((2, -1)\)
| Scheme | Marks |
|---|---|
| (\(d =\)) 1 | B1 |
| (1) | |
| (4 marks) |
Notes
B1: accept \((5, 1)\)