(adsbygoogle = window.adsbygoogle || []).push({}); 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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: P is a point in E

**Physics Forums | Science Articles, Homework Help, Discussion**