Foundation November 2021 Paper 1 Q6
6. The points \(A\), \(B\), \(D\) and \(E\) have been marked on the 1 cm grid below.
(a)
Write down the coordinates of \(E\). [1]
\(E\) ( ……… , ……… )
(b)
(i)
\(ABC\) is a triangle with the following properties.
- Angle \(ABC\) is a right angle.
- The length of \(BC\) is twice the length of \(AB\).
Mark and label the position of \(C\) on the grid. [2]
(ii)
\(D\) and \(E\) are two vertices of a triangle \(DEF\).
Triangle \(DEF\) is congruent to triangle \(ABC\).
Mark and label the position of \(F\) on the grid. [1]
| Scheme | Marks | Comments |
|---|---|---|
| \((-4,\ 1)\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(C\) correctly marked at (1, 7) | B2 | Mark intent; may be unlabelled B1 for a point that would result in a triangle and that satisfies one of the properties e.g. \((1,\ n)\) where \(n \neq 7\) If no marks, award SC1 for a point at (4, 7). |
| (ii) \(F\) correctly marked at \((-4,\ 7)\) | B1 | STRICT FT ‘their \(C\)’; mark intent; may be unlabelled Allow \((-7,\ 7)\) or correct FT of \((-7,\) their 7) |
| (4) |