- 3

- 0

**1. The problem statement, all variables and given/known data**

If P is a point in E (euclidean Plane) Then the "Inversion through P" is

Vp = {(x,y)| x,y in E and either,

1. x=y=p, or

2. p is the midpoint of segment xy}

What's Fix(Vp)

Show that Vp composed of Vp = The identity

**2. Relevant equations**

**3. The attempt at a solution**

Vp composed of Vp = The identity because Vp is a rigid motion and two rigid motions are equal to the identity?? (not so sure on this one)

I believe is that Fix(Vp) is every point because given point P in E and it's inversion through point P gives us that the inversion is = x=y=p so wouldn't that mean (p,p)?

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

**3. The attempt at a solution**

Last edited: