Now that you can construct a perpendicular, you can easily construct a parallel. It's always a good strategy to reduce new problems to problems that you've already solved.

 

Construct the parallel through P to the line g.

The perpendicular line tool is provided. Select the line first, then the point (the instructions appear at lower left when you click on the tool).

For a challenge, try to do the construction using only the circle tool.

The short solution is here.

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