Higher June 2024 Paper 1 Q11
11
Triangle A is translated by the vector \(\begin{pmatrix} 6 \\ -4 \end{pmatrix}\) to give triangle B.
Triangle B is rotated 90° clockwise about the point (1, 2) to give triangle C.
Describe fully the single transformation that maps triangle A onto triangle C. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Rotation 90° clockwise centre \((-4, 1)\) | M1 | for triangle B drawn at \((4, 0), (4, -2), (3, -2)\) or for triangle C drawn at \((-3, 0), (-3, -1), (-1, -1)\) or for rotating their B 90° clockwise about (1, 2) |
| A2 | for rotation 90° clockwise centre \((-4, 1)\) | |
| (A1 | for any 2 of the 3 aspects) |
Additional guidance
Award for a triangle in the correct position without the label B or C as long as this is the only triangle in the quadrant. Accept just the vertices marked.
Accept 270° (anticlockwise)
Do not award A1 for ‘rotation 90° clockwise’ if triangle C is shown not in the correct orientation
Do not award A marks if there is evidence of other transformations in the description or other ambiguity in the answer given