Foundation June 2023 Paper 1 Q18
18 Triangle T is drawn on a coordinate grid.
(a) Triangle A is translated by \(\begin{pmatrix} 6 \\ -3 \end{pmatrix}\) to give triangle T.
Draw and label triangle A on the grid. [2]
(b) Triangle T is rotated through \(90^\circ\) anticlockwise about \((0, 0)\) to give triangle B.
Draw and label triangle B on the grid. [2]
(c) Triangle T is reflected in the line \(y = -1\) to give triangle C.
Draw and label triangle C on the grid. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Triangle A at \((-5, 4)\) \((-3, 4)\) \((-4, 6)\) | 2 | B1 for translation of \(\begin{pmatrix} -6 \\ j \end{pmatrix}\) or \(\begin{pmatrix} k \\ 3 \end{pmatrix}\) or for triangle at \((7, -2)\) \((9, -2)\) \((8, 0)\) | See overlay. In all parts condone unlabelled if clear. Accept good freehand. Vertices within 2mm by eye Blue overlay 2 Red overlay B1 Vertical line shows where bottom left vertex should be for \(\begin{pmatrix} -6 \\ j \end{pmatrix}\) Horizontal line shows where base line of triangle should be for \(\begin{pmatrix} k \\ 3 \end{pmatrix}\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Triangle B at \((-3, 2)\) \((-1, 1)\) \((-1, 3)\) | 2 | B1 for \(90^\circ\) clockwise rotation or correct size and orientation incorrect position | Blue overlay 2 Red overlay shows B1 for clockwise rotation |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Triangle C at \((1, -3)\) \((3, -3)\) \((2, -5)\) | 2 | B1 for reflection in \(x = -1\) | Blue overlay 2 Red overlay B1 |