Transformations Practice Questions

Reflect triangle $T$ in the $y$-axis. Label the new triangle $A$.

Rotate triangle $T$ $90^\circ$ clockwise about the origin. Label the new triangle $B$.

Translate triangle $T$ by the vector $\begin{pmatrix}-4\\-4\end{pmatrix}$. Label the new triangle $C$.

Enlarge triangle $A$ by scale factor $2$, centre $(1, 1)$. Label your image $B$.

Write down the coordinates of the invariant point of this enlargement.

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

Describe fully the single transformation that maps triangle $A$ onto triangle $C$.

Enlarge triangle $T$ by scale factor $-2$, centre $(0, 0)$. Label your image $U$.

Write down the scale factor of the enlargement that maps triangle $U$ onto triangle $T$.

On the axes, draw a sketch of circle $D$.

Label with coordinates the centre of circle $D$ and the points where circle $D$ crosses the $y$-axis.

Explain why circle $D$ does not cross the $x$-axis.

Draw triangle $B$ and triangle $C$ on the grid. Label each triangle clearly.

Describe fully the single transformation that maps triangle $A$ onto triangle $C$.

Describe fully the single transformation that maps triangle $A$ onto triangle $C$.

Nadia says:

"If I reflect triangle $A$ in the line $x = 4$ first, and then reflect that image in the line $x = 2$, I will still get triangle $C$."

Is Nadia correct? You must show how you get your answer.