Higher November 2018 Paper 3 Q20

EdexcelCurrent spec2 marksTransformations of Shapes

20

Grid with x and y from -4 to 4 showing triangle A with vertices at (-4, 1), (-3, 1) and (-3.5, 4)

Triangle A is transformed by the combined transformation of a rotation of \(180^\circ\) about the point \((-2, 0)\) followed by a translation with vector \(\begin{pmatrix} -3 \\ 2 \end{pmatrix}\)

One point on triangle A is invariant under the combined transformation.

Find the coordinates of this point. (2)