Answer:
- reflection across the x-axis
- translation 10 units to the right (in either order)
Explanation:
The direction of the sequence of vertices ABC is counterclockwise, but the sequence of A'B'C' is clockwise. This means that an odd number of reflections across a line will be involved.
Since A is topmost and A' is bottom-most, a reflection across a horizontal line is indicated. The line halfway between A and A' is the x-axis.
If the figure is reflected across the x-axis, the new location of A is (-5, -4). The location of A' in the figure is (5, -4), which is 10 units to the right.
So, one sequence of operation mapping ABC to A'B'C' is ...
reflection across the x-axis
translation 10 units right.