First we construct the reflection of a point in a line.
The reflected point (call it P*) is a point which is on the other side of g from P, such that any point on line g is equally distant to P and to P*.

 

Construct the reflection of  point P in line g as follows. 

  • Choose any point Q  on line g. Since Q is equally distant to P and P*, it follows that P and P* lie on the same _____ with center Q  (fill in the blank!)
  • Construct a circle with center Q containing point ___  (fill in the blank!)
  • Do the same thing with a different point Q' on line g.
  • Place a point at the intersection of the two circles.

If you can't figure it out, here is the Solution.

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