Higher June 2019 Paper 4 Q8

OCRHigherCurrent spec6 marksTransformations of Shapes

8 Triangle A and triangle B are drawn on the coordinate grid.

Coordinate grid, x from −5 to 12, y from −5 to 5; triangle A has vertices (0, 1), (2, 1) and (2, 4); triangle B has vertices (−2, −1), (−4, −1) and (−4, −4)
(a) Describe fully the single transformation that maps triangle A onto triangle B. [3]
(b) Describe fully the single transformation that is equivalent to:
  • a reflection in the line \(x = 3\), followed by
  • a translation by \(\begin{pmatrix} 4 \\ 0 \end{pmatrix}\).

You may use the grid above to help you. [3]

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