How to Copy an Angle Using a Compass
The basic idea behind copying a given angle is to use your compass to sort of measure how wide the angle is open; then you create another angle with the same amount of opening.
Here’s the proof diagram.
Refer to the figure as you work through these steps:
- Draw a working line, l, with point B on it.
- Open your compass to any radius r, and construct arc (A, r) intersecting the two sides of angle A at points S and T.
- Construct arc (B, r) intersecting line l at some point V.
- Construct arc (S, ST).
- Construct arc (V, ST) intersecting arc (B, r) at point W.
- Draw line BW and you’re done.