4MA0 Foundation January 2016 Paper 1R Q8
8 The diagram shows a quadrilateral \(ABCD\) on a centimetre grid.
(a) Write down the coordinates of
(i) \(C\)
(ii) \(B\)
(2)(b) Write down the mathematical name for the quadrilateral \(ABCD\) (1)
(c) Write down the order of rotational symmetry of the quadrilateral \(ABCD\) (1)
(d) Work out the area of the quadrilateral \(ABCD\) (2)
(e) Find the coordinates of the midpoint of \(AC\) (2)
| Scheme | Marks |
|---|---|
| (i) Answer: (3, 2) | B1 |
| (ii) Answer: (−1, 2) | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| parallelogram | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 2 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(2 \times 4\) | M1 |
| 8 | A1 |
| (2) |
Notes
M1: Accept any correct expression.
| Scheme | Marks |
|---|---|
| \(\left(\tfrac{1}{2}(-2 + 3), \tfrac{1}{2}(0 + 2)\right)\) | M1 |
| \(\left(\tfrac{1}{2}, 1\right)\) | A1 |
| (2) | |
| Total 8 marks |
Notes
M1: Also award for either \(x\) or \(y\) coordinate correct.