Higher November 2020 Paper 2 Q24

AQACurrent spec3 marksTransformations of Shapes

24 Quadrilateral \(ABCD\) is shown.

Grid with x and y from −5 to 5. Quadrilateral ABCD with A(2, 4), B(2, 2), C(4, 1), D(4, 4)
(a) Work out the coordinates of \(C\) when \(ABCD\) is

rotated 90° clockwise about \(O\)
then
translated by \(\begin{pmatrix}-6\\2\end{pmatrix}\) [2 marks]

(b) Triangle \(PQR\) is shown.
Grid with x from −6 to 0 and y from 0 to 6. Triangle PQR with P(−4, 4), Q(−4, 2), R(−2, 2)

When \(PQR\) is reflected in a line, \(P\) and \(R\) are invariant points.

Circle the equation of the line. [1 mark]

  • \(y = x + 6\)
  • \(y = -x\)
  • \(y = 2\)
  • \(x = -4\)
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