Answer:
You need arcs of the same measure centered at points B and P.**
- Correct.
Step-by-step explanation:
- **A. You must construct a line through P perpendicular to line m.**
- Incorrect. Constructing a perpendicular line through P is not necessary for simply copying an angle.
- **B. You must construct the midline of ΔAPC.**
- Incorrect. The midline of ΔAPC is not relevant to copying an angle onto another ray.
- **C. You must bisect angle PBC.**
- Incorrect. Bisecting the angle is not necessary for copying it. You need to reproduce the same angle size, not half of it.
- **D. The new ray is parallel to line ℓ.**
- Incorrect. There is no requirement or information suggesting that the new ray must be parallel to any existing line such as line \( ℓ \).
- **E. The new line is perpendicular to line m.**
- Incorrect. Similar to option A, there's no need for perpendicularity to line \( m \) when copying an angle.
- **F. You need arcs of the same measure centered at points B and P.**
- Correct. This is a typical step in copying an angle using a compass. You draw an arc across the angle from its vertex (point B here), and then without adjusting the compass, you replicate this arc from point P to set the angle's width on the new location.