Final answer:
The final position and orientation of triangle A’’B’’C’’ after being reflected across lines n and p depends on whether these lines are parallel or not and the angles between them.
Step-by-step explanation:
When triangle ABC is reflected across line n to form triangle A'B'C', and then this image is reflected again across line p to form A’’B’’C’’, the final position of A’’B’’C’’ depends on the relative positions and angles of lines n and p.
Typically, the reflection over a line in a plane results in a figure that is a mirror image across that line, maintaining the shape and size of the original figure but reversing its orientation.
If both reflections are over parallel lines, the final figure will be in the same orientation as the original and displaced twice the distance between the lines.
If reflections are over non-parallel lines, the orientation and final position of A’’B’’C’’ would be different and potentially more complex, depending on the angle between lines n and p.