Higher June 2022 Paper 5 Q10

OCRHigherCurrent spec7 marksTransformations of Shapes

10

(a) Enlarge triangle A with scale factor 1.5 and centre of enlargement (−8, 0).
Coordinate grid from −8 to 8 on both axes with triangle A at (−2, 0), (−2, 4) and (0, 4)

[3]

(b) Triangle A and triangle B are shown on the coordinate grid below.
Coordinate grid from −8 to 8 on both axes with triangle A at (−2, 0), (−2, 4) and (0, 4) and triangle B at (2, −2), (4, −2) and (4, −6)

Triangle A is mapped onto triangle B using a combination of two transformations:

  • a transformation T, followed by
  • a reflection in the \(x\)-axis.

Describe fully transformation T. [4]