Higher November 2019 Paper 6 Q17

OCRHigherCurrent spec6 marksTransformations of Shapes

17 A triangle has vertices A, B and C.

Grid with x from 0 to 14 and y from 0 to 16 showing triangle ABC with A at (12, 13), B at (14, 12) and C at (13, 16)

The triangle is enlarged with scale factor \(f\) and centre of enlargement E.

Vertex A maps to (6, 7).
Vertex B maps to (2, 9).

(a) Find the coordinates of the centre of enlargement, E. [2]
(b) Find the scale factor, \(f\). [2]
(c) Vertex C maps to the point R.

Find the coordinates of R. [2]