Transformations Practice Questions

On the grid, translate triangle $P$ by the vector $\begin{pmatrix} -4 \\ -2 \end{pmatrix}$. Label the new triangle $Q$.

Write down the column vector of the translation that maps triangle $Q$ onto triangle $P$.

Triangle $P$ is rotated $90^\circ$ clockwise about the point $(2, 1)$ to give triangle $Q$.

Write down whether triangle $Q$ is congruent to triangle $P$ or similar but not congruent to triangle $P$.

Rectangle $R$ is enlarged by scale factor $4$, centre $(0, 0)$, to give rectangle $S$.

Nia says,

"Each angle in rectangle $S$ is 4 times the size of the matching angle in rectangle $R$."

Is Nia correct? Give a reason for your answer.

Shape $V$ is translated by the vector $\begin{pmatrix} -3 \\ 7 \end{pmatrix}$ to give shape $W$.

Write down one property of shape $V$ that is not changed by this translation.

Enlarge square $A$ by scale factor $\frac{1}{2}$, centre $(1, 1)$. Label the new square $B$.

Describe fully the single transformation that maps square $B$ onto square $A$.