If a geometric figure undergoes a dilation with scale factor $k = 3$, the lengths of its sides are tripled. What happens to the interior angles of the image?

True or False: If a figure is first reflected across the $x$-axis and then translated by the vector $\begin{pmatrix}2\\3\end{pmatrix}$, the final image is congruent to the original pre-image.

True or False: A reflection in the line $y = x$ results in an image that has the same orientation (e.g., clockwise vertex order) as the original pre-image.

If triangle ${PQR}$ is mapped to triangle ${P'Q'R'}$ by a dilation with a scale factor of , which of the following properties is preserved?

A translation $T$ maps the point $(x, y)$ to $(x-3, y+5)$. If the image of a point under is the origin , what were the coordinates of the pre-image?