Higher November 2022 Paper 1 Q24
24 Triangle \(ABC\) is drawn on a grid.
\(ABC\) is transformed to \(A'B'C'\) by a reflection in the line \(\quad x = 1\)
\(A'B'C'\) is transformed to \(A''B''C''\) by a rotation 90° anticlockwise about \((1, -4)\)
Which one point on \(ABC\) is invariant under the combined transformation?
You must show the result of each transformation on the grid. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Line \(x = 1\) drawn | M1 | any indication implied by a correct reflection |
| Correct shape drawn, with vertices at (3, 1), (6, 1) and (6, 3) | M1dep | |
| Correct shape drawn, with vertices at \((-6, 1)\), \((-4, 1)\) and \((-4, -2)\) | M1 | ft their \(A'B'C'\) |
| \(B\) or \((-4, 1)\) and both correct shapes drawn | A1 | accept \(B\) circled with both correct shapes drawn |
Additional guidance
Ignore incorrect labelling
Accept lines not ruled
Ignore extra lines drawn, but do not accept extra triangles unless the correct triangle(s) are clearly indicated
