Mathematics B 9-1 4MB1: Vectors and transformation geometry Topical Past Paper Questions

Triangle A and triangle E are drawn on the grid opposite. (a) Describe fully the single transformation that maps triangle A onto triangle E (3) Triangle A is transformed to triangle B under the translation $ \begin{pmatrix} 6 \\ -2 \end{pmatrix} $ (b) On the grid, draw and label…

Triangle A and triangle B are drawn on the grid opposite. (a) Describe fully the single transformation that maps triangle $A$ onto triangle $B$ (3) Triangle A is transformed to triangle C by a reflection in the line with equation $y = -1$ (b) On the grid, draw and label triangle…

Figure 2 Figure 2 shows a quadrilateral $ABCD$ with $\overrightarrow{AB} = \begin{pmatrix} 8.5 \\ 4.5 \end{pmatrix}$ and $\overrightarrow{AC} = \begin{pmatrix} 15 \\ 5 \end{pmatrix}$. The diagonals $AC$ and $BD$ meet at the point $E$. (a) Find as a column vector $\overrightarrow{…