Higher June 2024 Paper 5 Q19

OCRHigherCurrent spec3 marksTransformations of Shapes

19

(a) Describe fully the single transformation that is equivalent to:
  • a rotation of 20° anticlockwise about the origin, followed by
  • a rotation of 70° clockwise about the origin. [2]
(b) The diagram shows the coordinates of the vertices of a rectangle.
Rectangle with vertices (1, 1), (5, 1), (5, 4) and (1, 4) on x and y axes

Not to scale

The rectangle is reflected in the line \(y = 4\).

Write down the coordinates of the vertices of the rectangle that are invariant. [1]